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Peterson, Franklin P.

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Author ID: peterson.franklin-p Recent zbMATH articles by "Peterson, Franklin P."
Published as: Petersen, Franklin P.; Peterson, F. P.; Peterson, Franklin P.
External Links: MGP · Wikidata
Documents Indexed: 84 Publications since 1956, including 3 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 555 times in 427 Documents Cited by Year
The structure of the Spin cobordism ring. Zbl 0156.21605
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
47
1967
A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers. Zbl 0168.44001
Brown, Edgar H. jun.; Peterson, Franklin P.
42
1966
Some remarks on Chern classes. Zbl 0123.16502
Peterson, Franklin P.
41
1959
The cohomology structure of certain fibre spaces. I. Zbl 0132.19103
Massey, W. S.; Peterson, F. P.
34
1965
The mod 2 cohomology structure of certain fibre spaces. Zbl 0168.44002
Massey, W. S.; Peterson, F. P.
33
1967
Semi-characteristics and cobordism. Zbl 0165.26302
Lusztig, G.; Peterson, F. P.; Milnor, John W.
22
1969
A-generators for certain polynomial algebras. Zbl 0692.55012
Peterson, Franklin P.
21
1989
On the stable decomposition of \(\Omega^2S^{r+2}\). Zbl 0404.55003
Brown, E. H. jun.; Peterson, F. P.
21
1978
Secondary cohomology operations: Two formulas. Zbl 0088.38801
Peterson, F. P.; Stein, N.
20
1959
Spherical classes and the Dickson algebra. Zbl 0906.55013
Hu’ng, Nguyên H. V.; Peterson, Franklin P.
18
1998
Secondary cohomology operations on the Thom class. Zbl 0166.19502
Mahowald, M. E.; Peterson, F. P.
16
1963
SU-cobordism, KO-characteristic numbers, and the Kervaire invariant. Zbl 0137.42802
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
15
1966
Relations among characteristic classes. I. Zbl 0137.42705
Brown, Edgar H. jun.; Peterson, Franklin P.
13
1964
\({\mathcal A}\)-generators for the Dickson algebra. Zbl 0864.55016
Nguyen Huu Viet Hung; Peterson, Franklin P.
12
1995
Cobordism theories. Zbl 0139.16701
Browder, W.; Liulevicius, A.; Peterson, F. P.
11
1966
On the dual Stiefel-Whitney classes of a manifold. Zbl 0121.18005
Massey, W. S.; Peterson, F. P.
10
1963
Functional cohomology operations. Zbl 0212.55902
Peterson, Franklin P.
10
1957
\(A\)-generators for ideals in the Dickson algebra. Zbl 0984.55012
Giambalvo, V.; Peterson, F. P.
9
2001
Self-maps of loop spaces. I. Zbl 0605.55006
Campbell, H. E. A.; Peterson, F. P.; Selick, P. S.
9
1986
Whitehead products and cohomology operations. Zbl 0124.38401
Brown, Edgar H. jun.; Peterson, Franklin P.
9
1964
On the homotopy-commutativity of loop-spaces and suspensions. Zbl 0109.41403
Ganea, T.; Hilton, Peter J.; Peterson, F. P.
9
1962
A note on non-stable cohomology operations. Zbl 0121.39604
Peterson, F. P.
9
1958
Generalized cohomotopy groups. Zbl 0071.38505
Peterson, Franklin P.
8
1956
On the structure of \(H^ *(BSF; \mathbb Z_ p)\). Zbl 0171.44004
Peterson, Franklin P.; Toda, Hirosi
7
1967
Spin cobordism. Zbl 0136.44103
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
7
1966
On immersions of \(k\)-manifolds in \((2k-1)\)-manifolds. Zbl 0476.57015
Li, B. H.; Peterson, F. P.
6
1981
Modules over the Steenrod algebra. Zbl 0245.55020
Moore, John C.; Peterson, Franklin P.
6
1972
The dual of a secondary cohomology operation. Zbl 0093.36901
Peterson, F. P.; Stein, N.
6
1960
Self-maps of loop spaces. II. Zbl 0607.55003
Campbell, H. E. A.; Cohen, F. R.; Peterson, F. P.; Selick, P. S.
5
1986
Nearly Frobenius algebras, Poincaré algebras and their modules. Zbl 0287.16006
Moore, John C.; Peterson, Franklin P.
5
1973
Pin cobordism and related topics. Zbl 0195.24902
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
5
1969
Some results on cohomotopy groups. Zbl 0071.16701
Peterson, Franklin P.
5
1956
The space of maps of Moore spaces into spheres. Zbl 0699.55005
Campbell, H. E. A.; Cohen, F. R.; Peterson, F. P.; Selick, P. S.
4
1987
Immersions of n-manifolds into (2n-2)-manifolds. Zbl 0606.57017
Li, B. H.; Peterson, F. P.
4
1986
Lectures on cobordism theory. Notes by M. Mimura. Zbl 0199.26704
Peterson, F. P.
4
1968
Relations among characteristic classes. II. Zbl 0137.42801
Brown, Edgar H. jun.; Peterson, Franklin P.
4
1965
The Kervaire invariant of \((8k+2)\)-manifolds. Zbl 0129.39003
Brown, Edgar H. jun.; Peterson, Franklin P.
4
1965
Some non-embedding problems. Zbl 0080.38202
Peterson, Franklin P.
4
1957
A universal space for normal bundles of n-manifolds. Zbl 0415.55011
Brown, E. H. jun.; Peterson, F. P.
3
1979
Twisted cohomology operations and exotic characteristic classes. Zbl 0189.54402
Peterson, F. P.
3
1970
Some results on PL-covordism. Zbl 0184.48303
Peterson, F. P.
3
1969
Secondary characteristic classes. Zbl 0107.16904
Peterson, F. P.; Stein, Norman
3
1962
A note on \(H\)-spaces. Zbl 0096.37701
Peterson, Franklin P.
3
1959
A global structure theorem for the mod 2 Dickson algebras, and unstable cyclic modules over the Steenrod and Kudo-Araki-May algebras. Zbl 0970.55010
Pengelley, David J.; Peterson, Franklin P.; Williams, Frank
2
2000
The annihilator ideal of the action of the Steenrod algebra on \(H^*(RP^ \infty)\). Zbl 0841.55013
Giambalvo, V.; Peterson, F. P.
2
1995
\(A_ 2\)-annihilated elements in \(H_ *({\Omega{}}{\Sigma{}}{\mathbb{R}{}}{\mathbb{P}{}}^ 2)\). Zbl 0766.55011
Anick, D. J.; Peterson, F. P.
2
1993
The homology of BO and some results about the Steenrod algebra. Zbl 0374.55014
Brown, Edgar H. jun.; Davis, Donald M.; Petersen, Franklin P.
2
1977
A mod p Wu formula. Zbl 0404.55015
Peterson, Franklin P.
2
1975
The Kervaire invariant of \((8k+2)\)-manifolds. Zbl 0148.17401
Brown, Edgar H. jun.; Peterson, Franklin P.
2
1966
Algebraic bordism groups. Zbl 0129.15202
Brown, E. H. jun.; Peterson, Franklin P.
2
1964
On the height of \(Sq^{2^ n}\). Zbl 0848.55012
Giambalvo, V.; Peterson, F. P.
1
1995
\(H^*(RP^ \infty\times\dots\times RP^ \infty)\) as a module over the Steenrod algebra. Zbl 0824.55007
Giambalvo, V.; Nguyên H. V. Hung; Peterson, F. P.
1
1994
Suspensions of Stiefel manifolds. Zbl 0555.55010
Cohen, F. R.; Peterson, F. P.
1
1984
Self maps of loop spaces of spheres. Zbl 0518.55007
Peterson, F. P.
1
1982
Some remarks about symmetric functions. Zbl 0351.12005
Brown, Edgar H. jun.; Peterson, Franklin P.
1
1977
On immersions of n-manifolds. Zbl 0343.57015
Brown, Edgar H. jun.; Peterson, Franklin P.
1
1977
Some formulas in the Steenrod algebra. Zbl 0297.55016
Peterson, F. P.
1
1974
The mod p homotopy type of BSO and F/PL. Zbl 0189.54403
Peterson, F. P.
1
1969
Characteristic classes - old and new. Zbl 0179.51603
Peterson, F. P.
1
1969
Whitehead products and the cohomology structure of principal fibre spaces. Zbl 0097.38802
Peterson, Franklin P.
1
1960
Functional higher order cohomology operations. Zbl 0123.16105
Peterson, Franklin P.
1
1958
\(A\)-generators for ideals in the Dickson algebra. Zbl 0984.55012
Giambalvo, V.; Peterson, F. P.
9
2001
A global structure theorem for the mod 2 Dickson algebras, and unstable cyclic modules over the Steenrod and Kudo-Araki-May algebras. Zbl 0970.55010
Pengelley, David J.; Peterson, Franklin P.; Williams, Frank
2
2000
Spherical classes and the Dickson algebra. Zbl 0906.55013
Hu’ng, Nguyên H. V.; Peterson, Franklin P.
18
1998
\({\mathcal A}\)-generators for the Dickson algebra. Zbl 0864.55016
Nguyen Huu Viet Hung; Peterson, Franklin P.
12
1995
The annihilator ideal of the action of the Steenrod algebra on \(H^*(RP^ \infty)\). Zbl 0841.55013
Giambalvo, V.; Peterson, F. P.
2
1995
On the height of \(Sq^{2^ n}\). Zbl 0848.55012
Giambalvo, V.; Peterson, F. P.
1
1995
\(H^*(RP^ \infty\times\dots\times RP^ \infty)\) as a module over the Steenrod algebra. Zbl 0824.55007
Giambalvo, V.; Nguyên H. V. Hung; Peterson, F. P.
1
1994
\(A_ 2\)-annihilated elements in \(H_ *({\Omega{}}{\Sigma{}}{\mathbb{R}{}}{\mathbb{P}{}}^ 2)\). Zbl 0766.55011
Anick, D. J.; Peterson, F. P.
2
1993
A-generators for certain polynomial algebras. Zbl 0692.55012
Peterson, Franklin P.
21
1989
The space of maps of Moore spaces into spheres. Zbl 0699.55005
Campbell, H. E. A.; Cohen, F. R.; Peterson, F. P.; Selick, P. S.
4
1987
Self-maps of loop spaces. I. Zbl 0605.55006
Campbell, H. E. A.; Peterson, F. P.; Selick, P. S.
9
1986
Self-maps of loop spaces. II. Zbl 0607.55003
Campbell, H. E. A.; Cohen, F. R.; Peterson, F. P.; Selick, P. S.
5
1986
Immersions of n-manifolds into (2n-2)-manifolds. Zbl 0606.57017
Li, B. H.; Peterson, F. P.
4
1986
Suspensions of Stiefel manifolds. Zbl 0555.55010
Cohen, F. R.; Peterson, F. P.
1
1984
Self maps of loop spaces of spheres. Zbl 0518.55007
Peterson, F. P.
1
1982
On immersions of \(k\)-manifolds in \((2k-1)\)-manifolds. Zbl 0476.57015
Li, B. H.; Peterson, F. P.
6
1981
A universal space for normal bundles of n-manifolds. Zbl 0415.55011
Brown, E. H. jun.; Peterson, F. P.
3
1979
On the stable decomposition of \(\Omega^2S^{r+2}\). Zbl 0404.55003
Brown, E. H. jun.; Peterson, F. P.
21
1978
The homology of BO and some results about the Steenrod algebra. Zbl 0374.55014
Brown, Edgar H. jun.; Davis, Donald M.; Petersen, Franklin P.
2
1977
Some remarks about symmetric functions. Zbl 0351.12005
Brown, Edgar H. jun.; Peterson, Franklin P.
1
1977
On immersions of n-manifolds. Zbl 0343.57015
Brown, Edgar H. jun.; Peterson, Franklin P.
1
1977
A mod p Wu formula. Zbl 0404.55015
Peterson, Franklin P.
2
1975
Some formulas in the Steenrod algebra. Zbl 0297.55016
Peterson, F. P.
1
1974
Nearly Frobenius algebras, Poincaré algebras and their modules. Zbl 0287.16006
Moore, John C.; Peterson, Franklin P.
5
1973
Modules over the Steenrod algebra. Zbl 0245.55020
Moore, John C.; Peterson, Franklin P.
6
1972
Twisted cohomology operations and exotic characteristic classes. Zbl 0189.54402
Peterson, F. P.
3
1970
Semi-characteristics and cobordism. Zbl 0165.26302
Lusztig, G.; Peterson, F. P.; Milnor, John W.
22
1969
Pin cobordism and related topics. Zbl 0195.24902
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
5
1969
Some results on PL-covordism. Zbl 0184.48303
Peterson, F. P.
3
1969
The mod p homotopy type of BSO and F/PL. Zbl 0189.54403
Peterson, F. P.
1
1969
Characteristic classes - old and new. Zbl 0179.51603
Peterson, F. P.
1
1969
Lectures on cobordism theory. Notes by M. Mimura. Zbl 0199.26704
Peterson, F. P.
4
1968
The structure of the Spin cobordism ring. Zbl 0156.21605
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
47
1967
The mod 2 cohomology structure of certain fibre spaces. Zbl 0168.44002
Massey, W. S.; Peterson, F. P.
33
1967
On the structure of \(H^ *(BSF; \mathbb Z_ p)\). Zbl 0171.44004
Peterson, Franklin P.; Toda, Hirosi
7
1967
A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers. Zbl 0168.44001
Brown, Edgar H. jun.; Peterson, Franklin P.
42
1966
SU-cobordism, KO-characteristic numbers, and the Kervaire invariant. Zbl 0137.42802
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
15
1966
Cobordism theories. Zbl 0139.16701
Browder, W.; Liulevicius, A.; Peterson, F. P.
11
1966
Spin cobordism. Zbl 0136.44103
Anderson, D. W.; Brown, Edgar H. jun.; Peterson, Franklin P.
7
1966
The Kervaire invariant of \((8k+2)\)-manifolds. Zbl 0148.17401
Brown, Edgar H. jun.; Peterson, Franklin P.
2
1966
The cohomology structure of certain fibre spaces. I. Zbl 0132.19103
Massey, W. S.; Peterson, F. P.
34
1965
Relations among characteristic classes. II. Zbl 0137.42801
Brown, Edgar H. jun.; Peterson, Franklin P.
4
1965
The Kervaire invariant of \((8k+2)\)-manifolds. Zbl 0129.39003
Brown, Edgar H. jun.; Peterson, Franklin P.
4
1965
Relations among characteristic classes. I. Zbl 0137.42705
Brown, Edgar H. jun.; Peterson, Franklin P.
13
1964
Whitehead products and cohomology operations. Zbl 0124.38401
Brown, Edgar H. jun.; Peterson, Franklin P.
9
1964
Algebraic bordism groups. Zbl 0129.15202
Brown, E. H. jun.; Peterson, Franklin P.
2
1964
Secondary cohomology operations on the Thom class. Zbl 0166.19502
Mahowald, M. E.; Peterson, F. P.
16
1963
On the dual Stiefel-Whitney classes of a manifold. Zbl 0121.18005
Massey, W. S.; Peterson, F. P.
10
1963
On the homotopy-commutativity of loop-spaces and suspensions. Zbl 0109.41403
Ganea, T.; Hilton, Peter J.; Peterson, F. P.
9
1962
Secondary characteristic classes. Zbl 0107.16904
Peterson, F. P.; Stein, Norman
3
1962
The dual of a secondary cohomology operation. Zbl 0093.36901
Peterson, F. P.; Stein, N.
6
1960
Whitehead products and the cohomology structure of principal fibre spaces. Zbl 0097.38802
Peterson, Franklin P.
1
1960
Some remarks on Chern classes. Zbl 0123.16502
Peterson, Franklin P.
41
1959
Secondary cohomology operations: Two formulas. Zbl 0088.38801
Peterson, F. P.; Stein, N.
20
1959
A note on \(H\)-spaces. Zbl 0096.37701
Peterson, Franklin P.
3
1959
A note on non-stable cohomology operations. Zbl 0121.39604
Peterson, F. P.
9
1958
Functional higher order cohomology operations. Zbl 0123.16105
Peterson, Franklin P.
1
1958
Functional cohomology operations. Zbl 0212.55902
Peterson, Franklin P.
10
1957
Some non-embedding problems. Zbl 0080.38202
Peterson, Franklin P.
4
1957
Generalized cohomotopy groups. Zbl 0071.38505
Peterson, Franklin P.
8
1956
Some results on cohomotopy groups. Zbl 0071.16701
Peterson, Franklin P.
5
1956
all top 5

Cited by 375 Authors

11 Mahowald, Mark Edward
11 Nguyễn Hu’u Viêt Hu’ng
10 Peterson, Franklin P.
9 Stong, Robert E.
8 De Nittis, Giuseppe
8 Singer, William M.
8 Smith, Larry
7 Kucharz, Wojciech
7 Papastavridis, Stavros G.
7 Thomas, Paul Emery
6 Cohen, Ralph L.
6 Davis, Donald M.
6 Lannes, Jean E.
6 Milgram, Richard James
6 Pengelley, David J.
5 Cohen, Frederick Ronald
5 Gomi, Kiyonori
4 Laures, Gerd
4 Lin, Wen-Hsiung
4 Mothebe, Mbakiso Fix
4 Randall, Duane
4 Ravenel, Douglas C.
4 Sati, Hisham
4 Schultz, Reinhard E.
4 Smirnov, Vladimir Alekseevich
4 Stasheff, James D.
4 Williams, Frank J.
4 Zahler, Raphael S.
3 Bahri, Anthony P.
3 Banica, Constantin
3 Brown, Edgar H. jun.
3 Gitler Hammer, Samuel Carlos
3 Goerss, Paul G.
3 Harper, John R.
3 Hegenbarth, Friedrich
3 Hilton, Peter John
3 Hovey, Mark A.
3 Johnson, David Copeland
3 Jones, John D. S.
3 Kechagias, Nondas E.
3 Kuhn, Nicholas J.
3 Landweber, Peter S.
3 Li, Guisong
3 Lin, James P.
3 Ng, Tze Beng
3 Nomura, Yasutoshi
3 Quỳnh, Võ T. N.
3 Taylor, Laurence Robert
3 Tsuchiya, Akihiro
3 Tuấn, Ngô A.
3 Wilson, W. Stephen
3 Zarati, Said
2 Alexander, James Crew
2 Bakuradze, Malkhaz
2 Bendersky, Martin
2 Blanc, David Abraham
2 Bousfield, A. K.
2 Buchner, Michael A.
2 Bukhshtaber, Viktor Matveevich
2 Campbell, H. E. A. Eddy
2 Cavicchioli, Alberto
2 Cho’n, Phan Hoàng
2 Clough, Robert R.
2 Davis, James Frederic
2 Forster, Otto
2 Franjou, Vincent
2 Ganea, Tudor
2 Giambalvo, Vincent
2 Gilkey, Peter B.
2 Hambleton, Ian
2 Handel, David
2 Heil, Artur
2 Inassaridze, Nikoloz
2 Kashiwabara, Takuji
2 Kervaire, Michel A.
2 Koschorke, Ulrich
2 Krueger, Warren M.
2 Kurdyka, Krzysztof
2 Lein, Max
2 Li, Banghe
2 Madsen, Ib Henning
2 Mann, Benjamin Michael
2 Marcum, Howard J.
2 Margolis, H. R.
2 May, Jon Peter
2 McClendon, James F.
2 Miatello, Roberto Jorge
2 Miller, Haynes R.
2 Nam, Trân Ngoc
2 Naumann, Niko
2 Nguyễn, Thế Cuong
2 Ohmori, Kantaro
2 Palmieri, John H.
2 Putinar, Mihai
2 Rudyak, Yuli B.
2 Schneider, Michael
2 Schreiber, Urs
2 Schwartz, Lionel
2 Selick, Paul S.
2 Silverman, Judith Hava
...and 275 more Authors
all top 5

Cited in 82 Serials

62 Transactions of the American Mathematical Society
38 Proceedings of the American Mathematical Society
31 Journal of Pure and Applied Algebra
31 Mathematische Zeitschrift
27 Bulletin of the American Mathematical Society
19 Topology and its Applications
15 Mathematische Annalen
14 Mathematical Proceedings of the Cambridge Philosophical Society
13 Inventiones Mathematicae
10 Advances in Mathematics
9 Manuscripta Mathematica
7 Proceedings of the Edinburgh Mathematical Society. Series II
6 Journal of Algebra
6 Geometry & Topology
5 Mathematical Notes
5 Journal of Geometry and Physics
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Tohoku Mathematical Journal. Second Series
5 Bulletin of the American Mathematical Society. New Series
5 Algebraic & Geometric Topology
5 Journal of Homotopy and Related Structures
4 Journal of Mathematical Physics
4 Bulletin de la Société Mathématique de France
4 Journal of Soviet Mathematics
4 Nagoya Mathematical Journal
4 Forum Mathematicum
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 \(K\)-Theory
3 Journal of High Energy Physics
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Reviews in Mathematical Physics
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Annals of Global Analysis and Geometry
2 Proceedings of the Japan Academy
1 International Journal of Theoretical Physics
1 Russian Mathematical Surveys
1 Boletim da Sociedade Brasileira de Matemática
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Acta Mathematica Sinica. New Series
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Georgian Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Doklady Mathematics
1 Vietnam Journal of Mathematics
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Communications in Contemporary Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 African Diaspora Journal of Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Journal of Noncommutative Geometry
1 Journal of \(K\)-Theory

Citations by Year

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