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Rolfsen, Dale

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Author ID: rolfsen.dale Recent zbMATH articles by "Rolfsen, Dale"
Published as: Rolfsen, Dale; Rolfsen, D.; Rolfsen, Dale P. O.; Rolfsen, Dale P.
Homepage: https://www.math.ubc.ca/~rolfsen/
External Links: MGP
Documents Indexed: 68 Publications since 1966, including 6 Books
Reviewing Activity: 3 Reviews

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,394 times in 1,220 Documents Cited by Year
Knots and links. Zbl 0339.55004
Rolfsen, Dale
703
1976
Knots and links. 2nd print. with corr. Zbl 0854.57002
Rolfsen, Dale
187
1990
Orderable 3-manifold groups. Zbl 1068.57001
Boyer, Steven; Rolfsen, Dale; Wiest, Bert
56
2005
Ordering braids. Zbl 1163.20024
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
53
2008
Geometric subgroups of mapping class groups. Zbl 1007.57014
Paris, Luis; Rolfsen, Dale
34
2000
Geometric subgroups of surface braid groups. Zbl 0962.20028
Paris, Luis; Rolfsen, Dale
30
1999
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
29
1999
Why are braids orderable? Zbl 1048.20021
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
21
2002
Ordered groups and topology. Zbl 1362.20001
Clay, Adam; Rolfsen, Dale
20
2016
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
20
1996
Braids, orderings and zero divisors. Zbl 0928.20031
Rolfsen, Dale; Zhu, Jun
18
1998
Knot polynomials and generalized mutation. Zbl 0638.57006
Anstee, R. P.; Przytycki, J. H.; Rolfsen, D.
18
1989
Homotopy classification of higher dimensional links. Zbl 0575.57011
Massey, W. S.; Rolfsen, D.
18
1985
An unexpected surgery construction of a lens space. Zbl 0349.55004
Bailey, James; Rolfsen, Dale
14
1977
Rational surgery calculus: Extension of Kirby’s theorem. Zbl 0488.57002
Rolfsen, Dale
13
1984
Local indicability in ordered groups: braids and elementary amenable groups. Zbl 0996.20024
Rhemtulla, Akbar; Rolfsen, Dale
13
2002
On orderability of fibred knot groups. Zbl 1046.57008
Perron, Bernard; Rolfsen, Dale
13
2003
Free group automorphisms, invariant orderings and topological applications. Zbl 0985.57006
Rolfsen, Dale; Wiest, Bert
12
2001
An ordering for groups of pure braids and fibre-type hyperplane arrangements. Zbl 1047.20027
Kim, Djun Maximilian; Rolfsen, Dale
11
2003
Spheres may link homotopically in 4-space. Zbl 0603.57011
Fenn, Roger; Rolfsen, Dale
11
1986
The Zeeman conjecture for standard spines is equivalent to the Poincaré conjecture. Zbl 0518.57007
Gillman, D.; Rolfsen, D.
10
1983
Ordered groups, eigenvalues, knots, surgery and L-spaces. Zbl 1241.57014
Clay, Adam; Rolfsen, Dale
7
2012
Higher-dimensional link operations and stable homotopy. Zbl 0638.57011
Koschorke, Ulrich; Rolfsen, Dale
7
1988
Some remarks on rotors in link theory. Zbl 0754.57002
Jin, Gyo Taek; Rolfsen, Dale
6
1991
Groups of PL homeomorphisms of cubes. Zbl 1355.57025
Calegari, Danny; Rolfsen, Dale
5
2015
Global mutation of knots. Zbl 0874.57003
Rolfsen, Dale
5
1994
A surgical view of Alexander’s polynomial. Zbl 0315.55008
Rolfsen, Dale
5
1975
Generalized torsion in knot groups. Zbl 1336.57023
Naylor, Geoff; Rolfsen, Dale
4
2016
Braid subgroup normalisers, commensurators and induced representations. Zbl 0897.20031
Rolfsen, Dale
4
1997
New developments in the theory of Artin’s braid groups. Zbl 1027.20019
Rolfsen, Dale
4
2003
Invariant group orderings and Galois conjugates. Zbl 1189.20039
Linnell, Peter A.; Rhemtulla, Akbar H.; Rolfsen, Dale P. O.
4
2008
Collapsing and reconstruction of manifolds. Zbl 0817.57023
Gillman, David; Matveev, Sergej; Rolfsen, Dale
4
1994
Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002
Kholodenko, Arkady L.; Rolfsen, Dale P.
3
1996
Braids, orderings, and minimal volume cusped hyperbolic 3-manifolds. Zbl 1456.57008
Kin, Eiko; Rolfsen, Dale
3
2018
Characterizing the 3-cell by its metric. Zbl 0195.25603
Rolfsen, Dale
3
1970
Invariant ordering of surface groups and 3-manifolds which fibre over \(S^1\). Zbl 1116.57012
Perron, Bernard; Rolfsen, Dale
3
2006
A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066
Jones, Vaughan F. R.; Rolfsen, Dale P. O.
2
1994
Three-manifolds embed in small 3-complexes. Zbl 0755.57003
Gillman, David; Rolfsen, Dale
2
1992
The quest for a knot with trivial Jones polynomial: diagram surgery and the Temperley-Lieb algebra. Zbl 0833.57002
Rolfsen, Dale
2
1993
Strongly convex metrics in cells. Zbl 0171.21503
Rolfsen, D.
2
1968
Zeeman’s collapsing conjecture. Zbl 0811.57009
Matveev, Sergei; Rolfsen, Dale
2
1993
Ordered groups as a tensor category. Zbl 1388.18007
Rolfsen, Dale
1
2018
Discretely ordered groups. Zbl 1229.06008
Linnell, Peter A.; Rhemtulla, Akbar; Rolfsen, Dale P. O.
1
2009
Homotopy of knots and the Alexander polynomial. Zbl 0935.57005
Austin, David; Rolfsen, Dale
1
1999
PL link isotopy, essential knotting and quotients of polynomials. Zbl 0761.57006
Rolfsen, Dale
1
1991
Alternative metrization proofs. Zbl 0151.30203
Rolfsen, Dale
1
1966
Densely ordered braid subgroups. Zbl 1139.20033
Clay, Adam; Rolfsen, Dale
1
2007
Manifolds and their special spines. Zbl 0523.57003
Gillman, David; Rolfsen, Dale
1
1983
Mappings of nonzero degree between 3-manifolds: a new obstruction. Zbl 1100.57022
Rolfsen, Dale
1
2004
Some counterexamples in link theory. Zbl 0259.57009
Rolfsen, Dale
1
1974
Isotopy of links in codimension two. Zbl 0276.57005
Rolfsen, Dale
1
1973
A topological view of ordered groups. Zbl 1316.06020
Rolfsen, Dale
1
2014
Knot theory and manifolds. Proceedings of a Conference held in Vancouver, Canada, June 2-4, 1983. Zbl 0564.00014
Rolfsen, D. (ed.)
1
1985
Piecewise-linear I-equivalence of links. Zbl 0574.57009
Rolfsen, Dale
1
1985
Braids, orderings, and minimal volume cusped hyperbolic 3-manifolds. Zbl 1456.57008
Kin, Eiko; Rolfsen, Dale
3
2018
Ordered groups as a tensor category. Zbl 1388.18007
Rolfsen, Dale
1
2018
Ordered groups and topology. Zbl 1362.20001
Clay, Adam; Rolfsen, Dale
20
2016
Generalized torsion in knot groups. Zbl 1336.57023
Naylor, Geoff; Rolfsen, Dale
4
2016
Groups of PL homeomorphisms of cubes. Zbl 1355.57025
Calegari, Danny; Rolfsen, Dale
5
2015
A topological view of ordered groups. Zbl 1316.06020
Rolfsen, Dale
1
2014
Ordered groups, eigenvalues, knots, surgery and L-spaces. Zbl 1241.57014
Clay, Adam; Rolfsen, Dale
7
2012
Discretely ordered groups. Zbl 1229.06008
Linnell, Peter A.; Rhemtulla, Akbar; Rolfsen, Dale P. O.
1
2009
Ordering braids. Zbl 1163.20024
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
53
2008
Invariant group orderings and Galois conjugates. Zbl 1189.20039
Linnell, Peter A.; Rhemtulla, Akbar H.; Rolfsen, Dale P. O.
4
2008
Densely ordered braid subgroups. Zbl 1139.20033
Clay, Adam; Rolfsen, Dale
1
2007
Invariant ordering of surface groups and 3-manifolds which fibre over \(S^1\). Zbl 1116.57012
Perron, Bernard; Rolfsen, Dale
3
2006
Orderable 3-manifold groups. Zbl 1068.57001
Boyer, Steven; Rolfsen, Dale; Wiest, Bert
56
2005
Mappings of nonzero degree between 3-manifolds: a new obstruction. Zbl 1100.57022
Rolfsen, Dale
1
2004
On orderability of fibred knot groups. Zbl 1046.57008
Perron, Bernard; Rolfsen, Dale
13
2003
An ordering for groups of pure braids and fibre-type hyperplane arrangements. Zbl 1047.20027
Kim, Djun Maximilian; Rolfsen, Dale
11
2003
New developments in the theory of Artin’s braid groups. Zbl 1027.20019
Rolfsen, Dale
4
2003
Why are braids orderable? Zbl 1048.20021
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
21
2002
Local indicability in ordered groups: braids and elementary amenable groups. Zbl 0996.20024
Rhemtulla, Akbar; Rolfsen, Dale
13
2002
Free group automorphisms, invariant orderings and topological applications. Zbl 0985.57006
Rolfsen, Dale; Wiest, Bert
12
2001
Geometric subgroups of mapping class groups. Zbl 1007.57014
Paris, Luis; Rolfsen, Dale
34
2000
Geometric subgroups of surface braid groups. Zbl 0962.20028
Paris, Luis; Rolfsen, Dale
30
1999
Ordering the braid groups. Zbl 1009.20042
Fenn, R.; Greene, M. T.; Rolfsen, D.; Rourke, C.; Wiest, B.
29
1999
Homotopy of knots and the Alexander polynomial. Zbl 0935.57005
Austin, David; Rolfsen, Dale
1
1999
Braids, orderings and zero divisors. Zbl 0928.20031
Rolfsen, Dale; Zhu, Jun
18
1998
Braid subgroup normalisers, commensurators and induced representations. Zbl 0897.20031
Rolfsen, Dale
4
1997
Centralisers in the braid group and singular braid monoid. Zbl 0869.20024
Fenn, Roger; Rolfsen, Dale; Zhu, Jun
20
1996
Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002
Kholodenko, Arkady L.; Rolfsen, Dale P.
3
1996
Global mutation of knots. Zbl 0874.57003
Rolfsen, Dale
5
1994
Collapsing and reconstruction of manifolds. Zbl 0817.57023
Gillman, David; Matveev, Sergej; Rolfsen, Dale
4
1994
A theorem regarding \(4\)-braids and the \(V=1\) problem. Zbl 0900.20066
Jones, Vaughan F. R.; Rolfsen, Dale P. O.
2
1994
The quest for a knot with trivial Jones polynomial: diagram surgery and the Temperley-Lieb algebra. Zbl 0833.57002
Rolfsen, Dale
2
1993
Zeeman’s collapsing conjecture. Zbl 0811.57009
Matveev, Sergei; Rolfsen, Dale
2
1993
Three-manifolds embed in small 3-complexes. Zbl 0755.57003
Gillman, David; Rolfsen, Dale
2
1992
Some remarks on rotors in link theory. Zbl 0754.57002
Jin, Gyo Taek; Rolfsen, Dale
6
1991
PL link isotopy, essential knotting and quotients of polynomials. Zbl 0761.57006
Rolfsen, Dale
1
1991
Knots and links. 2nd print. with corr. Zbl 0854.57002
Rolfsen, Dale
187
1990
Knot polynomials and generalized mutation. Zbl 0638.57006
Anstee, R. P.; Przytycki, J. H.; Rolfsen, D.
18
1989
Higher-dimensional link operations and stable homotopy. Zbl 0638.57011
Koschorke, Ulrich; Rolfsen, Dale
7
1988
Spheres may link homotopically in 4-space. Zbl 0603.57011
Fenn, Roger; Rolfsen, Dale
11
1986
Homotopy classification of higher dimensional links. Zbl 0575.57011
Massey, W. S.; Rolfsen, D.
18
1985
Knot theory and manifolds. Proceedings of a Conference held in Vancouver, Canada, June 2-4, 1983. Zbl 0564.00014
Rolfsen, D.
1
1985
Piecewise-linear I-equivalence of links. Zbl 0574.57009
Rolfsen, Dale
1
1985
Rational surgery calculus: Extension of Kirby’s theorem. Zbl 0488.57002
Rolfsen, Dale
13
1984
The Zeeman conjecture for standard spines is equivalent to the Poincaré conjecture. Zbl 0518.57007
Gillman, D.; Rolfsen, D.
10
1983
Manifolds and their special spines. Zbl 0523.57003
Gillman, David; Rolfsen, Dale
1
1983
An unexpected surgery construction of a lens space. Zbl 0349.55004
Bailey, James; Rolfsen, Dale
14
1977
Knots and links. Zbl 0339.55004
Rolfsen, Dale
703
1976
A surgical view of Alexander’s polynomial. Zbl 0315.55008
Rolfsen, Dale
5
1975
Some counterexamples in link theory. Zbl 0259.57009
Rolfsen, Dale
1
1974
Isotopy of links in codimension two. Zbl 0276.57005
Rolfsen, Dale
1
1973
Characterizing the 3-cell by its metric. Zbl 0195.25603
Rolfsen, Dale
3
1970
Strongly convex metrics in cells. Zbl 0171.21503
Rolfsen, D.
2
1968
Alternative metrization proofs. Zbl 0151.30203
Rolfsen, Dale
1
1966
all top 5

Cited by 1,163 Authors

23 Stoimenow, Alexander
20 Kanenobu, Taizo
19 Teragaito, Masakazu
15 Cavicchioli, Alberto
14 Livingston, Charles
12 Ichihara, Kazuhiro
12 Rolfsen, Dale
11 Clay, Adam
11 Guaschi, John
11 Motegi, Kimihiko
10 Boyer, Steven
10 Ito, Tetsuya
10 Paris, Luis
10 Przytycki, Józef H.
10 Saito, Masahico
10 Spaggiari, Fulvia
9 Bellingeri, Paolo
9 Dehornoy, Patrick
9 Matignon, Daniel
8 Gonçalves, Daciberg Lima
8 Watson, Liam
7 Garoufalidis, Stavros
7 Jablan, Slavik Vlado
7 Rump, Wolfgang
7 Wiest, Bertold
7 Zhang, Xingru
6 Carter, J. Scott
6 Hillman, Jonathan Arthur
6 Kadokami, Teruhisa
6 Kamada, Seiichi
6 Kauffman, Louis Hirsch
6 Leininger, Christopher J.
6 Morimoto, Kanji
6 Pochinka, Olga Vital’evna
6 Rivas, Cristóbal
6 Sazdanović, Radmila
6 Suzuki, Masaaki
6 Yurttaş, Saadet Öykü
5 Boileau, Michel Charles
5 Cochran, Thomas (Tim) Daniel
5 Gordon, Cameron McA.
5 Guadagnini, Enore
5 Hinojosa, Gabriela
5 Hoste, Jim
5 Ito, Noboru
5 Kirk, Paul A.
5 Kitano, Teruaki
5 Koda, Yuya
5 Lee, Sang Youl
5 Lidman, Tye
5 Mednykh, Aleksandr Dmitrievich
5 Nakanishi, Yasutaka
5 Orlandini, Enzo
5 Ray, Arunima
5 Repovš, Dušan D.
5 Seo, Myoungsoo
5 Suciu, Alexander I.
5 Sullivan, Michael C.
5 Traczyk, Paweł
5 Wang, Shi Cheng
5 Wu, Yingqing
5 Yamada, Yuichi
4 Auckly, David R.
4 Birman, Joan S.
4 Davis, Christopher William
4 Etgü, Tolga
4 Fromentin, Jean
4 Funar, Louis
4 Godelle, Eddy
4 Kegel, Marc
4 Kholodenko, Arkady L.
4 Kidwell, Mark Elliot
4 Kim, Soo Hwan
4 Kim, Yangkok
4 Kobayashi, Tsuyoshi
4 Koberda, Thomas
4 Lee, Eonkyung
4 Lee, Sangjin
4 Lee, Sangyop
4 Linnell, Peter Arnold
4 Litherland, Richard A.
4 Melikhov, Sergey Aleksandrovich
4 Moriuchi, Hiromasa
4 Murasugi, Kunio
4 Navas, Andrés
4 Ni, Yi
4 Park, B. Doug
4 Radović, Ljiljana M.
4 Saito, Toshio
4 Silver, Daniel S.
4 Takimura, Yusuke
4 Vesnin, Andrei Yu.
4 Whittington, Stuart G.
3 Adams, Colin C.
3 Aramayona, Javier
3 Baader, Sebastian
3 Bardakov, Valeriĭ Georgievich
3 Buck, Dorothy
3 Calegari, Danny Matthew Cornelius
3 Dabkowski, Mieczysław K.
...and 1,063 more Authors
all top 5

Cited in 198 Serials

201 Journal of Knot Theory and its Ramifications
132 Topology and its Applications
93 Algebraic & Geometric Topology
60 Proceedings of the American Mathematical Society
59 Transactions of the American Mathematical Society
36 Geometry & Topology
24 Journal of Algebra
23 Mathematische Annalen
22 Geometriae Dedicata
17 Journal of Pure and Applied Algebra
15 Advances in Mathematics
15 Inventiones Mathematicae
15 Osaka Journal of Mathematics
13 Mathematische Zeitschrift
11 Communications in Mathematical Physics
11 Annales de l’Institut Fourier
9 Bulletin of the American Mathematical Society. New Series
8 Communications in Algebra
8 Journal of the Mathematical Society of Japan
8 Proceedings of the Japan Academy. Series A
8 Journal of the American Mathematical Society
8 Groups, Geometry, and Dynamics
7 Nuclear Physics. B
7 Rocky Mountain Journal of Mathematics
7 Siberian Mathematical Journal
7 Tokyo Journal of Mathematics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Boletín de la Sociedad Matemática Mexicana. Third Series
6 International Journal of Theoretical Physics
6 Journal of Mathematical Physics
6 Compositio Mathematica
6 Duke Mathematical Journal
6 Discrete & Computational Geometry
6 International Journal of Mathematics
6 Experimental Mathematics
6 Journal of Mathematical Sciences (New York)
6 Annals of Mathematics. Second Series
5 Israel Journal of Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Geometry and Physics
5 Applied Mathematics and Computation
5 Glasgow Mathematical Journal
5 Acta Mathematica Hungarica
5 International Journal of Algebra and Computation
5 Annals of Physics
5 Acta Mathematica Sinica. English Series
5 Journal of Topology
5 Winter Braids Lecture Notes
4 Discrete Applied Mathematics
4 Mathematical Notes
4 Chaos, Solitons and Fractals
4 International Journal of Mathematics and Mathematical Sciences
4 The Journal of Geometric Analysis
4 Annales Mathématiques Blaise Pascal
4 Journal of Group Theory
4 Communications in Contemporary Mathematics
3 Modern Physics Letters A
3 International Journal of Modern Physics A
3 Discrete Mathematics
3 Journal of Statistical Physics
3 Letters in Mathematical Physics
3 Physics Letters. A
3 Physics Letters. B
3 Mathematics of Computation
3 The Mathematical Intelligencer
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Archiv der Mathematik
3 Bulletin de la Société Mathématique de France
3 Manuscripta Mathematica
3 Michigan Mathematical Journal
3 Semigroup Forum
3 Chinese Annals of Mathematics. Series B
3 Forum Mathematicum
3 Geometric and Functional Analysis. GAFA
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 Discrete and Continuous Dynamical Systems
3 Journal of Mathematical Chemistry
3 Journal of Interdisciplinary Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mediterranean Journal of Mathematics
3 Journal of Topology and Analysis
3 Groups, Complexity, Cryptology
2 Bulletin of the Australian Mathematical Society
2 Russian Mathematical Surveys
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Canadian Mathematical Bulletin
2 Publications Mathématiques
2 Journal of Approximation Theory
2 Journal of Combinatorial Theory. Series A
2 Kodai Mathematical Journal
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Advances in Applied Mathematics
2 Ergodic Theory and Dynamical Systems
2 Physica D
2 Differential Geometry and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
...and 98 more Serials
all top 5

Cited in 54 Fields

1,030 Manifolds and cell complexes (57-XX)
249 Group theory and generalizations (20-XX)
64 Differential geometry (53-XX)
63 Dynamical systems and ergodic theory (37-XX)
58 Quantum theory (81-XX)
57 Order, lattices, ordered algebraic structures (06-XX)
55 Algebraic topology (55-XX)
49 Combinatorics (05-XX)
29 Global analysis, analysis on manifolds (58-XX)
23 Algebraic geometry (14-XX)
22 Computer science (68-XX)
21 Number theory (11-XX)
20 Several complex variables and analytic spaces (32-XX)
20 General topology (54-XX)
18 Associative rings and algebras (16-XX)
17 Functions of a complex variable (30-XX)
15 Mathematical logic and foundations (03-XX)
15 Topological groups, Lie groups (22-XX)
15 Statistical mechanics, structure of matter (82-XX)
15 Biology and other natural sciences (92-XX)
11 Category theory; homological algebra (18-XX)
11 Convex and discrete geometry (52-XX)
9 Nonassociative rings and algebras (17-XX)
9 Geometry (51-XX)
8 Commutative algebra (13-XX)
7 Functional analysis (46-XX)
7 Numerical analysis (65-XX)
6 Partial differential equations (35-XX)
6 Fluid mechanics (76-XX)
5 History and biography (01-XX)
5 General algebraic systems (08-XX)
5 Field theory and polynomials (12-XX)
5 Relativity and gravitational theory (83-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Special functions (33-XX)
4 Probability theory and stochastic processes (60-XX)
3 \(K\)-theory (19-XX)
3 Real functions (26-XX)
3 Ordinary differential equations (34-XX)
3 Abstract harmonic analysis (43-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
3 Information and communication theory, circuits (94-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Operator theory (47-XX)
1 Operations research, mathematical programming (90-XX)

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