## Carlsson, Gunnar E.

Compute Distance To:
 Author ID: carlsson.gunnar-e Published as: Carlsson, Gunnar; Carlsson, G.; Carlsson, G. E.; Carlsson, Gunnar E. External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 86 Publications since 1974, including 1 Book 7 Contributions as Editor · 1 Further Contribution Co-Authors: 51 Co-Authors with 56 Joint Publications 759 Co-Co-Authors
all top 5

### Co-Authors

 38 single-authored 9 Zomorodian, Afra J. 7 Cohen, Ralph L. 6 de Silva, Vin 6 Goldfarb, Boris 4 Mémoli, Facundo 4 Milgram, Richard James 3 Hsiang, Wu-Chung 3 Pedersen, Erik Kjær 2 Adams, Henry 2 Bökstedt, Marcel 2 Carlsson, Erik 2 Dundas, Bjørn Ian 2 Goodwillie, Thomas Gehret 2 Kališnik Verovšek, Sara 2 Miller, Haynes R. 2 Morozov, Dmitry V. 2 Ravenel, Douglas C. 2 Segarra, Santiago 2 Singh, Gurjeet 1 Adcock, Aaron B. 1 Adem, Alejandro 1 Anick, David J. 1 Atanasov, Atanas Z. 1 Baas, Nils Andreas 1 Browder, William 1 Brown, Edgar H. jun. 1 Brun, Morten 1 Bubenik, Peter 1 Campbell, H. E. A. Eddy 1 Chan, Joseph Minhow 1 Cohen, Frederick Ronald 1 Collins, Anne D. 1 Cruthirds, John E. 1 Davis, Donald M. 1 Douglas, Christopher L. 1 Dwyer, William G. 1 Feichtner-Kozlov, Dimitry N. 1 Filippenko, Benjamin 1 Friedlander, Eric Mark 1 Gabrielsson, Rickard Brüel 1 Guibas, Leonidas John 1 Ishkhanov, Tigran 1 Jones, John D. S. 1 Joshua, Roy 1 Kan, Daniel Marinus 1 Kim, Peter T. 1 Luo, Zhiming 1 Madsen, Ib Henning 1 Mahowald, Mark Edward 1 Martinez, Hugo M. 1 May, Jon Peter 1 Moore, John C. 1 Neisendorfer, Joseph A. 1 Parshall, Brian J. 1 Perea, Jose A. 1 Peterson, Franklin P. 1 Quick, Gereon 1 Rabadán, Raúl 1 Ribeiro, Alejandro R. 1 Selick, Paul S. 1 Sexton, H. B. 1 Skryzalin, Jacek 1 Stasheff, James D. 1 Swan, Richard Gordon 1 Szymik, Markus 1 Thaule, Marius 1 Thomason, Robert Wayne 1 Vejdemo-Johansson, Mikael 1 Vogell, Wolrad 1 Waldhausen, Friedhelm 1 Wright, C. G. 1 Zabrodsky, Alexander
all top 5

### Serials

 6 Journal of Pure and Applied Algebra 5 Inventiones Mathematicae 4 Topology 4 Homology, Homotopy and Applications 3 $$K$$-Theory 2 Advances in Mathematics 2 American Journal of Mathematics 2 Journal of Algebra 2 Discrete & Computational Geometry 2 International Journal of Computer Vision 2 Foundations of Computational Mathematics 1 Houston Journal of Mathematics 1 Bulletin of Mathematical Biology 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 IEEE Transactions on Computers 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Topological Methods in Nonlinear Analysis 1 International Journal of Shape Modeling 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Journal of Machine Learning Research (JMLR) 1 Acta Numerica 1 Oberwolfach Reports 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Mathematical Sciences Research Institute Publications 1 Abel Symposia 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Homotopy and Related Structures 1 Journal of Topology 1 SIAM Journal on Imaging Sciences 1 Journal of Computational Geometry 1 Annals of $$K$$-Theory 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Applied and Computational Topology
all top 5

### Fields

 66 Algebraic topology (55-XX) 21 Manifolds and cell complexes (57-XX) 17 $$K$$-theory (19-XX) 17 Computer science (68-XX) 16 Category theory; homological algebra (18-XX) 16 Statistics (62-XX) 8 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 5 Number theory (11-XX) 5 Commutative algebra (13-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

77 Publications have been cited 1,278 times in 807 Documents Cited by Year
Topology and data. Zbl 1172.62002
Carlsson, Gunnar
2009
Computing persistent homology. Zbl 1069.55003
Zomorodian, Afra; Carlsson, Gunnar
2005
The theory of multidimensional persistence. Zbl 1187.55004
Carlsson, Gunnar; Zomorodian, Afra
2009
Equivariant stable homotopy and Segal’s Burnside ring conjecture. Zbl 0586.55008
Carlsson, Gunnar
1984
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
2010
Persistence barcodes for shapes. Zbl 1092.68688
Carlsson, Gunnar; Zomorodian, Afra; Collins, Anne; Guibas, Leonidas J.
2005
Zigzag persistent homology and real-valued functions. Zbl 1380.68385
Carlsson, Gunnar; de Silva, Vin; Morozov, Dmitriy
2009
Controlled algebra and the Novikov conjectures for $$K$$- and $$L$$-theory. Zbl 0838.55004
Carlsson, Gunnar; Pedersen, Erik Kjær
1995
Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo
2010
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
2014
Topology of viral evolution. Zbl 1292.92014
Chan, Joseph Minhow; Carlsson, Gunnar; Rabadan, Raul
2013
G. B. Segal’s Burnside ring conjecture for $$(Z/2)^k$$. Zbl 0504.55011
Carlsson, Gunnar
1983
On the rank of Abelian groups acting freely on $$(S^n)^k$$. Zbl 0517.57020
Carlsson, Gunnar
1982
A counterexample to a conjecture of Steenrod. Zbl 0477.55007
Carlsson, Gunnar
1981
The integral $$K$$-theoretic Novikov conjecture for groups with finite asymptotic dimension. Zbl 1071.19003
Carlsson, Gunnar; Goldfarb, Boris
2005
Interconnection networks based on a generalization of cube-connected cycles. Zbl 0572.94019
Carlsson, G. E.; Cruthirds, J. E.; Sexton, H. B.; Wright, C. G.
1985
Statistical topology via Morse theory persistence and nonparametric estimation. Zbl 1196.62041
Bubenik, Peter; Carlsson, Gunnar; Kim, Peter T.; Luo, Zhi-Ming
2010
On homological coherence of discrete groups. Zbl 1057.22013
Carlsson, Gunnar; Goldfarb, Boris
2004
The ring of algebraic functions on persistence bar codes. Zbl 1420.55017
Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar
2016
Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo
2013
On the homology of finite free $$(Z/2)^ n$$-complexes. Zbl 0526.57024
Carlsson, G.
1983
Computing multidimensional persistence. Zbl 1273.68416
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra
2009
Localized homology. Zbl 1155.65021
Zomorodian, Afra; Carlsson, Gunnar
2008
Stable homotopy and iterated loop spaces. Zbl 0865.55006
Carlsson, Gunnar; Milgram, R. James
1995
The theory of multidimensional persistence. Zbl 1188.55001
Carlsson, Gunnar; Zomorodian, Afra
2007
Derived completions in stable homotopy theory. Zbl 1146.55006
Carlsson, Gunnar
2008
Equivariant stable homotopy and Sullivan’s conjecture. Zbl 0736.55008
Carlsson, Gunnar
1991
On the algebraic $$K$$-theory of infinite product categories. Zbl 0829.18005
Carlsson, Gunnar
1995
A Klein-bottle-based dictionary for texture representation. Zbl 1328.68279
Perea, Jose A.; Carlsson, Gunnar
2014
On the non-existence of free actions of elementary Abelian groups on products of spheres. Zbl 0454.57028
Carlsson, Gunnar
1980
Computing multidimensional persistence. Zbl 1374.68649
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra J.
2010
On the algebraic $$K$$-theory of simply connected spaces. Zbl 0867.19003
Bökstedt, M.; Carlsson, G.; Cohen, R.; Goodwillie, T.; Hsiang, W. C.; Madsen, I.
1996
On the local behavior of spaces of natural images. Zbl 1477.68463
Carlsson, Gunnar; Ishkhanov, Tigran; De Silva, Vin; Zomorodian, Afra
2008
A simplicial group construction for balanced products. Zbl 0532.55024
Carlsson, Gunnar
1984
The cyclic groups and the free loop space. Zbl 0632.57028
Carlsson, G. E.; Cohen, R. L.
1987
An algebraic topological method for feature identification. Zbl 1098.65024
Carlsson, Erik; Carlsson, Gunnar; De Silva, Vin
2006
A survey of equivariant stable homotopy theory. Zbl 0759.55001
Carlsson, Gunnar
1992
Higher topological cyclic homology and the Segal conjecture for tori. Zbl 1223.55004
Carlsson, Gunnar; Douglas, Christopher L.; Dundas, Bjørn Ian
2011
Symmetric and $$r$$-symmetric tropical polynomials and rational functions. Zbl 1375.14211
Carlsson, Gunnar; Kališnik Verovšek, Sara
2016
Covering homology. Zbl 1208.19003
Brun, Morten; Carlsson, Gunnar; Dundas, Bjørn Ian
2010
The free loop space and the algebraic K-theory of spaces. Zbl 0649.55001
Carlsson, G. E.; Cohen, R. L.; Goodwillie, T.; Hsiang, W. C.
1987
Bounded $$K$$-theory and the assembly map in algebraic $$K$$-theory. Zbl 0957.19001
Carlsson, Gunnar
1995
Continuously controlled algebraic $$K$$-theory of spaces and the Novikov conjecture. Zbl 0897.55003
Carlsson, Gunnar; Pedersen, Erik Kjær; Vogell, Wolrad
1998
Derived representation theory and the algebraic $$K$$-theory of fields. Zbl 1230.19001
Carlsson, Gunnar E.
2011
Controlled algebraic $$G$$-theory. I. Zbl 1278.19002
Carlsson, Gunnar; Goldfarb, Boris
2011
A geometric framework for sparse matrix problems. Zbl 1103.65032
Carlsson, Gunnar; de Silva, Vin
2004
Torsion with rings for orders and finite groups. Zbl 0408.18009
Carlsson, G.; Milgram, R. James
1978
Persistent homology of the sum metric. Zbl 1437.55007
Carlsson, Gunnar; Filippenko, Benjamin
2020
Some exact sequences in the theory of Hermitian forms. Zbl 0443.10019
Carlsson, Gunnar; Milgram, R. James
1980
Computing persistent homology. Zbl 1375.68174
Zomorodian, Afra; Carlsson, Gunnar
2004
Čech homology and the Novikov conjectures for K- and L-theory. Zbl 0936.19003
Carlsson, Gunnar; Pedersen, Erik Kjær
1998
On the homotopy fixed point problem for free loop spaces and other function complexes. Zbl 0736.55009
Carlsson, Gunnar
1991
Algebraic topology and its applications. Zbl 0782.00019
1994
Proper homotopy theory and transfers for infinite groups. Zbl 0795.55012
Carlsson, Gunnar
1994
Numeric invariants from multidimensional persistence. Zbl 1439.55007
Skryzalin, Jacek; Carlsson, Gunnar
2017
Topological approaches to deep learning. Zbl 1441.68220
Carlsson, Gunnar; Gabrielsson, Rickard Brüel
2020
Parametrized homology via zigzag persistence. Zbl 1427.55005
Carlsson, Gunnar; de Silva, Vin; Kališnik, Sara; Morozov, Dmitriy
2019
On the Witt group of a 2-adic group ring. Zbl 0412.10014
Carlsson, Gunnar
1980
Segal’s Burnside ring conjecture and the homotopy limit problem. Zbl 0656.55010
Carlsson, Gunnar
1987
The shape of data. Zbl 1349.55001
Carlsson, Gunnar
2013
Nudged elastic band in topological data analysis. Zbl 1377.62030
Adams, Henry; Atanasov, Atanas; Carlsson, Gunnar
2015
Problem session. Zbl 0977.55001
Carlsson, Gunnar
2001
Equivariant stable homotopy theory and related areas. Proceedings of a workshop, Stanford University, Stanford, CA, USA, August 23–27, 2000. Zbl 0973.00048
2001
Persistent homology and applied homotopy theory. Zbl 1476.55014
Carlsson, Gunnar
2020
Some restrictions on finite groups acting freely on $$(S^n)^k$$. Zbl 0489.57009
Carlsson, Gunnar
1981
Algebraic topological methods in computer science. Proceedings of a workshop, Stanford University, Stanford, CA, USA, July 30–August 3, 2001. Zbl 1018.00509
2003
On the stable splitting of bo $$\wedge$$ bo and torsion operations in connective K-theory. Zbl 0408.55014
Carlsson, Gunnar
1980
Free $$({\mathbb{Z}}/2)^ 3$$-actions on finite complexes. Zbl 0701.55003
Carlsson, Gunnar
1987
On the nonlinear statistics of range image patches. Zbl 1175.62066
Adams, Henry; Carlsson, Gunnar
2009
The structure of odd L-groups. Zbl 0455.18008
Carlsson, G.; Milgram, R. James
1979
Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago
2018
An Adams-type spectral sequence for change of rings. Zbl 0409.55015
Carlsson, Gunnar
1978
Desuspension in the symmetric L-groups. Zbl 0421.57011
Carlsson, Gunnar
1979
Wu invariants of Hermitian forms. Zbl 0441.10018
Carlsson, Gunnar
1980
Deloopings in algebraic $$K$$-theory. Zbl 1106.19001
Carlsson, Gunnar
2005
Free $$({\mathbb{Z}}/2)^ k$$-actions and a problem in commutative algebra. Zbl 0614.57023
Carlsson, Gunnar
1986
On modules over infinite group rings. Zbl 1354.19001
Carlsson, Gunnar; Goldfarb, Boris
2016
Persistent homology of the sum metric. Zbl 1437.55007
Carlsson, Gunnar; Filippenko, Benjamin
2020
Topological approaches to deep learning. Zbl 1441.68220
Carlsson, Gunnar; Gabrielsson, Rickard Brüel
2020
Persistent homology and applied homotopy theory. Zbl 1476.55014
Carlsson, Gunnar
2020
Parametrized homology via zigzag persistence. Zbl 1427.55005
Carlsson, Gunnar; de Silva, Vin; Kališnik, Sara; Morozov, Dmitriy
2019
Hierarchical clustering of asymmetric networks. Zbl 1414.91298
Carlsson, Gunnar; Mémoli, Facundo; Ribeiro, Alejandro; Segarra, Santiago
2018
Numeric invariants from multidimensional persistence. Zbl 1439.55007
Skryzalin, Jacek; Carlsson, Gunnar
2017
The ring of algebraic functions on persistence bar codes. Zbl 1420.55017
Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar
2016
Symmetric and $$r$$-symmetric tropical polynomials and rational functions. Zbl 1375.14211
Carlsson, Gunnar; Kališnik Verovšek, Sara
2016
On modules over infinite group rings. Zbl 1354.19001
Carlsson, Gunnar; Goldfarb, Boris
2016
Nudged elastic band in topological data analysis. Zbl 1377.62030
Adams, Henry; Atanasov, Atanas; Carlsson, Gunnar
2015
Topological pattern recognition for point cloud data. Zbl 1398.68615
Carlsson, Gunnar
2014
A Klein-bottle-based dictionary for texture representation. Zbl 1328.68279
Perea, Jose A.; Carlsson, Gunnar
2014
Topology of viral evolution. Zbl 1292.92014
Chan, Joseph Minhow; Carlsson, Gunnar; Rabadan, Raul
2013
Classifying clustering schemes. Zbl 1358.62057
Carlsson, Gunnar; Mémoli, Facundo
2013
The shape of data. Zbl 1349.55001
Carlsson, Gunnar
2013
Higher topological cyclic homology and the Segal conjecture for tori. Zbl 1223.55004
Carlsson, Gunnar; Douglas, Christopher L.; Dundas, Bjørn Ian
2011
Derived representation theory and the algebraic $$K$$-theory of fields. Zbl 1230.19001
Carlsson, Gunnar E.
2011
Controlled algebraic $$G$$-theory. I. Zbl 1278.19002
Carlsson, Gunnar; Goldfarb, Boris
2011
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
2010
Characterization, stability and convergence of hierarchical clustering methods. Zbl 1242.62050
Carlsson, Gunnar; Mémoli, Facundo
2010
Statistical topology via Morse theory persistence and nonparametric estimation. Zbl 1196.62041
Bubenik, Peter; Carlsson, Gunnar; Kim, Peter T.; Luo, Zhi-Ming
2010
Computing multidimensional persistence. Zbl 1374.68649
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra J.
2010
Covering homology. Zbl 1208.19003
Brun, Morten; Carlsson, Gunnar; Dundas, Bjørn Ian
2010
Topology and data. Zbl 1172.62002
Carlsson, Gunnar
2009
The theory of multidimensional persistence. Zbl 1187.55004
Carlsson, Gunnar; Zomorodian, Afra
2009
Zigzag persistent homology and real-valued functions. Zbl 1380.68385
Carlsson, Gunnar; de Silva, Vin; Morozov, Dmitriy
2009
Computing multidimensional persistence. Zbl 1273.68416
Carlsson, Gunnar; Singh, Gurjeet; Zomorodian, Afra
2009
On the nonlinear statistics of range image patches. Zbl 1175.62066
Adams, Henry; Carlsson, Gunnar
2009
Localized homology. Zbl 1155.65021
Zomorodian, Afra; Carlsson, Gunnar
2008
Derived completions in stable homotopy theory. Zbl 1146.55006
Carlsson, Gunnar
2008
On the local behavior of spaces of natural images. Zbl 1477.68463
Carlsson, Gunnar; Ishkhanov, Tigran; De Silva, Vin; Zomorodian, Afra
2008
The theory of multidimensional persistence. Zbl 1188.55001
Carlsson, Gunnar; Zomorodian, Afra
2007
An algebraic topological method for feature identification. Zbl 1098.65024
Carlsson, Erik; Carlsson, Gunnar; De Silva, Vin
2006
Computing persistent homology. Zbl 1069.55003
Zomorodian, Afra; Carlsson, Gunnar
2005
Persistence barcodes for shapes. Zbl 1092.68688
Carlsson, Gunnar; Zomorodian, Afra; Collins, Anne; Guibas, Leonidas J.
2005
The integral $$K$$-theoretic Novikov conjecture for groups with finite asymptotic dimension. Zbl 1071.19003
Carlsson, Gunnar; Goldfarb, Boris
2005
Deloopings in algebraic $$K$$-theory. Zbl 1106.19001
Carlsson, Gunnar
2005
On homological coherence of discrete groups. Zbl 1057.22013
Carlsson, Gunnar; Goldfarb, Boris
2004
A geometric framework for sparse matrix problems. Zbl 1103.65032
Carlsson, Gunnar; de Silva, Vin
2004
Computing persistent homology. Zbl 1375.68174
Zomorodian, Afra; Carlsson, Gunnar
2004
Algebraic topological methods in computer science. Proceedings of a workshop, Stanford University, Stanford, CA, USA, July 30–August 3, 2001. Zbl 1018.00509
2003
Problem session. Zbl 0977.55001
Carlsson, Gunnar
2001
Equivariant stable homotopy theory and related areas. Proceedings of a workshop, Stanford University, Stanford, CA, USA, August 23–27, 2000. Zbl 0973.00048
2001
Continuously controlled algebraic $$K$$-theory of spaces and the Novikov conjecture. Zbl 0897.55003
Carlsson, Gunnar; Pedersen, Erik Kjær; Vogell, Wolrad
1998
Čech homology and the Novikov conjectures for K- and L-theory. Zbl 0936.19003
Carlsson, Gunnar; Pedersen, Erik Kjær
1998
On the algebraic $$K$$-theory of simply connected spaces. Zbl 0867.19003
Bökstedt, M.; Carlsson, G.; Cohen, R.; Goodwillie, T.; Hsiang, W. C.; Madsen, I.
1996
Controlled algebra and the Novikov conjectures for $$K$$- and $$L$$-theory. Zbl 0838.55004
Carlsson, Gunnar; Pedersen, Erik Kjær
1995
Stable homotopy and iterated loop spaces. Zbl 0865.55006
Carlsson, Gunnar; Milgram, R. James
1995
On the algebraic $$K$$-theory of infinite product categories. Zbl 0829.18005
Carlsson, Gunnar
1995
Bounded $$K$$-theory and the assembly map in algebraic $$K$$-theory. Zbl 0957.19001
Carlsson, Gunnar
1995
Algebraic topology and its applications. Zbl 0782.00019
1994
Proper homotopy theory and transfers for infinite groups. Zbl 0795.55012
Carlsson, Gunnar
1994
A survey of equivariant stable homotopy theory. Zbl 0759.55001
Carlsson, Gunnar
1992
Equivariant stable homotopy and Sullivan’s conjecture. Zbl 0736.55008
Carlsson, Gunnar
1991
On the homotopy fixed point problem for free loop spaces and other function complexes. Zbl 0736.55009
Carlsson, Gunnar
1991
The cyclic groups and the free loop space. Zbl 0632.57028
Carlsson, G. E.; Cohen, R. L.
1987
The free loop space and the algebraic K-theory of spaces. Zbl 0649.55001
Carlsson, G. E.; Cohen, R. L.; Goodwillie, T.; Hsiang, W. C.
1987
Segal’s Burnside ring conjecture and the homotopy limit problem. Zbl 0656.55010
Carlsson, Gunnar
1987
Free $$({\mathbb{Z}}/2)^ 3$$-actions on finite complexes. Zbl 0701.55003
Carlsson, Gunnar
1987
Free $$({\mathbb{Z}}/2)^ k$$-actions and a problem in commutative algebra. Zbl 0614.57023
Carlsson, Gunnar
1986
Interconnection networks based on a generalization of cube-connected cycles. Zbl 0572.94019
Carlsson, G. E.; Cruthirds, J. E.; Sexton, H. B.; Wright, C. G.
1985
Equivariant stable homotopy and Segal’s Burnside ring conjecture. Zbl 0586.55008
Carlsson, Gunnar
1984
A simplicial group construction for balanced products. Zbl 0532.55024
Carlsson, Gunnar
1984
G. B. Segal’s Burnside ring conjecture for $$(Z/2)^k$$. Zbl 0504.55011
Carlsson, Gunnar
1983
On the homology of finite free $$(Z/2)^ n$$-complexes. Zbl 0526.57024
Carlsson, G.
1983
On the rank of Abelian groups acting freely on $$(S^n)^k$$. Zbl 0517.57020
Carlsson, Gunnar
1982
A counterexample to a conjecture of Steenrod. Zbl 0477.55007
Carlsson, Gunnar
1981
Some restrictions on finite groups acting freely on $$(S^n)^k$$. Zbl 0489.57009
Carlsson, Gunnar
1981
On the non-existence of free actions of elementary Abelian groups on products of spheres. Zbl 0454.57028
Carlsson, Gunnar
1980
Some exact sequences in the theory of Hermitian forms. Zbl 0443.10019
Carlsson, Gunnar; Milgram, R. James
1980
On the Witt group of a 2-adic group ring. Zbl 0412.10014
Carlsson, Gunnar
1980
On the stable splitting of bo $$\wedge$$ bo and torsion operations in connective K-theory. Zbl 0408.55014
Carlsson, Gunnar
1980
Wu invariants of Hermitian forms. Zbl 0441.10018
Carlsson, Gunnar
1980
The structure of odd L-groups. Zbl 0455.18008
Carlsson, G.; Milgram, R. James
1979
Desuspension in the symmetric L-groups. Zbl 0421.57011
Carlsson, Gunnar
1979
Torsion with rings for orders and finite groups. Zbl 0408.18009
Carlsson, G.; Milgram, R. James
1978
An Adams-type spectral sequence for change of rings. Zbl 0409.55015
Carlsson, Gunnar
1978
all top 5

### Cited by 1,108 Authors

 30 Carlsson, Gunnar E. 15 Mémoli, Facundo 12 de Silva, Vin 12 Mischaikow, Konstantin 11 Bubenik, Peter 11 Frosini, Patrizio 11 Mrozek, Marian 11 Wu, Jie 10 Ghrist, Robert W. 9 Dey, Tamal Krishna 9 Dranishnikov, Alexander Nikolaevich 9 Edelsbrunner, Herbert 9 Hiraoka, Yasuaki 9 Kališnik Verovšek, Sara 9 Landi, Claudia 9 Oudot, Steve Yann 9 Wei, Guowei 8 Adams, Henry 8 Bauer, Ulrich 8 Chazal, Frédéric 8 Nanda, Vidit 7 Bartels, Arthur C. 7 Goldfarb, Boris 6 Bobrowski, Omer 6 Cerri, Andrea 6 Dovgoshey, Oleksiy Alfredovich 6 Kerber, Michael 6 Kramár, Miroslav 6 Lannes, Jean E. 6 Mukherjee, Sayan 5 Adamaszek, Michal 5 Adem, Alejandro 5 Assadi, Amir H. 5 Botnan, Magnus Bakke 5 Curry, Justin Michael 5 di Fabio, Barbara 5 Dundas, Bjørn Ian 5 Ethier, Marc 5 Guralnik, Dan P. 5 Harer, John L. 5 Heo, Giseon 5 Marcolli, Matilde 5 Munch, Elizabeth 5 Owada, Takashi 5 Perea, Jose A. 5 Schwartz, Lionel 5 Turner, Katharine 5 Wang, Bei 5 Wang, Yusu 5 Weinberger, Shmuel 5 Winges, Christoph 5 Yalçın, Ergün 4 Adler, Robert Joseph 4 Benson, David John 4 Blumberg, Andrew J. 4 Boissonnat, Jean-Daniel 4 Bradley, Patrick Erik 4 Burghelea, Dan 4 Chen, Yen-Chi 4 Fasy, Brittany Terese 4 Goodwillie, Thomas Gehret 4 Greenlees, John P. C. 4 Guibas, Leonidas John 4 Guilbault, Craig R. 4 Jablonski, Grzegorz 4 Kaczynski, Tomasz 4 Kim, Woojin 4 Kuhn, Nicholas J. 4 Lawson, Tyler Douglas 4 Lück, Wolfgang 4 Mandell, Michael A. 4 Maroulas, Vasileios 4 Michel, Bertrand 4 Mio, Washington 4 Polterovich, Leonid Viktorovich 4 Rabadán, Raúl 4 Ragnarsson, Kári 4 Ramras, Daniel A. 4 Reich, Holger 4 Rosenthal, David S. H. 4 Skraba, Primoz 4 Vejdemo-Johansson, Mikael 4 Weiss, Michael S. 4 Yu, Guoliang 4 Zomorodian, Afra J. 3 Allili, Madjid 3 Bacard, Hugo V. 3 Bassett, Danielle S. 3 Belchí, Francisco 3 Bell, Gregory C. 3 Bendich, Paul 3 Bökstedt, Marcel 3 Cang, Zixuan 3 Chachólski, Wojciech 3 Chen, Jiahui 3 Cohen-Steiner, David 3 Cohen, Ralph L. 3 Cole, Alex 3 Culbertson, Jared 3 Dłotko, Paweł ...and 1,008 more Authors
all top 5

### Cited in 219 Serials

 45 Discrete & Computational Geometry 36 Journal of Applied and Computational Topology 32 Foundations of Computational Mathematics 26 Journal of Pure and Applied Algebra 25 Advances in Mathematics 23 Transactions of the American Mathematical Society 23 Algebraic & Geometric Topology 22 Topology and its Applications 18 Inventiones Mathematicae 17 Mathematische Zeitschrift 11 Proceedings of the American Mathematical Society 11 $$K$$-Theory 11 Geometry & Topology 10 Discrete Applied Mathematics 10 Computational Geometry 10 Journal of Homotopy and Related Structures 8 Geometriae Dedicata 8 Journal of Algebra 8 Mathematische Annalen 8 Forum Mathematicum 8 SIAM Journal on Applied Algebra and Geometry 7 Physica D 7 Journal of Symbolic Computation 7 Bulletin of the American Mathematical Society. New Series 6 Japan Journal of Industrial and Applied Mathematics 6 The Annals of Applied Probability 6 Journal of Machine Learning Research (JMLR) 5 Computers & Mathematics with Applications 5 Chaos 5 Mathematics in Computer Science 5 Electronic Journal of Statistics 5 Journal of Topology and Analysis 5 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Advances in Applied Probability 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of the American Statistical Association 4 Mathematical Systems Theory 4 Advances in Applied Mathematics 4 Journal of Classification 4 Proceedings of the National Academy of Sciences of the United States of America 4 SIAM Review 4 Applicable Algebra in Engineering, Communication and Computing 4 Journal of Mathematical Imaging and Vision 4 Bernoulli 4 Advances in Data Analysis and Classification. ADAC 4 Foundations of Data Science 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Bulletin of Mathematical Biology 3 Journal of Geometry and Physics 3 Acta Mathematica 3 The Annals of Statistics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Computational and Applied Mathematics 3 Manuscripta Mathematica 3 Theoretical Computer Science 3 Computer Aided Geometric Design 3 Journal of the American Mathematical Society 3 Stochastic Processes and their Applications 3 Selecta Mathematica. New Series 3 Journal of High Energy Physics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Journal of Fixed Point Theory and Applications 3 SIAM Journal on Mathematics of Data Science 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Discrete Mathematics 2 Physics Reports 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of Computer and System Sciences 2 Journal of Multivariate Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Probability Theory and Related Fields 2 International Journal of Approximate Reasoning 2 Applied Mathematics Letters 2 International Journal of Mathematics 2 Neural Computation 2 International Journal of Computational Geometry & Applications 2 Pattern Recognition 2 Expositiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Computational Statistics and Data Analysis 2 Journal of Algebraic Combinatorics 2 Applied Categorical Structures 2 Topology Proceedings 2 Applied and Computational Harmonic Analysis 2 International Journal of Computer Vision 2 Fractals 2 Bulletin des Sciences Mathématiques 2 Advances in Computational Mathematics 2 Theory and Applications of Categories 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series ...and 119 more Serials
all top 5

### Cited in 55 Fields

 471 Algebraic topology (55-XX) 162 Computer science (68-XX) 144 Manifolds and cell complexes (57-XX) 133 Statistics (62-XX) 86 Category theory; homological algebra (18-XX) 82 Group theory and generalizations (20-XX) 78 Combinatorics (05-XX) 73 $$K$$-theory (19-XX) 50 Probability theory and stochastic processes (60-XX) 45 General topology (54-XX) 41 Numerical analysis (65-XX) 41 Biology and other natural sciences (92-XX) 36 Dynamical systems and ergodic theory (37-XX) 32 Associative rings and algebras (16-XX) 31 Differential geometry (53-XX) 27 Algebraic geometry (14-XX) 24 Global analysis, analysis on manifolds (58-XX) 24 Information and communication theory, circuits (94-XX) 23 Commutative algebra (13-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Convex and discrete geometry (52-XX) 15 Functional analysis (46-XX) 13 Number theory (11-XX) 10 Geometry (51-XX) 10 Operations research, mathematical programming (90-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX)

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