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Author ID: arkowitz.martin Recent zbMATH articles by "Arkowitz, Martin"
Published as: Arkowitz, Martin; Arkowitz, M.
External Links: MGP
Documents Indexed: 70 Publications since 1962, including 4 Books
Co-Authors: 17 Co-Authors with 48 Joint Publications
212 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 302 times in 199 Documents Cited by Year
The generalized Whitehead product. Zbl 0118.18404
Arkowitz, M.
42
1962
Introduction to homotopy theory. Zbl 1232.55001
Arkowitz, Martin
24
2011
Sullivan’s minimal models and higher order Whitehead products. Zbl 0441.55012
Andrews, Peter; Arkowitz, Martin
16
1978
Co-\(H\)-spaces. Zbl 0941.55001
Arkowitz, Martin
14
1995
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
10
1991
The group of homotopy equivalences of a space. Zbl 0129.15401
Arkowitz, M.; Curjel, C. R.
10
1964
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
10
2000
Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups. Zbl 0929.55008
Arkowitz, Martin; Maruyama, Ken-ichi
9
1998
The Hurewicz homomorphism and finite homotopy invariants. Zbl 0132.19203
Arkowitz, M.; Curjel, C. R.
9
1964
On maps of H-spaces. Zbl 0171.21901
Arkowitz, M.; Curjel, C. R.
9
1967
Some properties of the exotic multiplications on the three-sphere. Zbl 0176.21102
Arkowitz, M.; Curjel, C. R.
9
1969
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
9
1995
Comultiplications on a wedge of two spheres. Zbl 1229.55009
Arkowitz, Martin; Lee, Dae-Woong
8
2011
Properties of comultiplications on a wedge of spheres. Zbl 1203.55007
Arkowitz, Martin; Lee, Dae-Woong
8
2010
Noncommutativity of the group of self homotopy classes of Lie groups. Zbl 1012.55019
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey
7
2002
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
7
1995
Groups of homotopy classes. 2nd revised ed. Zbl 0166.19001
Arkowitz, M.; Curjel, C. R.
6
1967
Problems on self-homotopy equivalences. Zbl 0973.55005
Arkowitz, Martin
6
2001
Co-\(H\)-structures on Moore spaces of type \((G,2)\). Zbl 0829.55006
Arkowitz, Martin; Golasinski, Marek
5
1994
Homotopy products for H-spaces. Zbl 0118.18405
Arkowitz, M.
5
1963
On the number of multiplications of an H-space. Zbl 0121.39804
Arkowitz, M.; Curjel, C. R.
5
1963
Homotopy commutators of finite order. I. Zbl 0122.17802
Arkowitz, M.; Curjel, C. R.
5
1963
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
4
1991
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
4
1996
Groups of homotopy classes. Rank formulas and homotopy commutativity. Zbl 0131.20502
Arkowitz, M.; Curjel, C. R.
4
1964
Whitehead products as images of Pontrjagin products. Zbl 0199.58001
Arkowitz, M.
4
1971
The Lefschetz-Hopf theorem and axioms for the Lefschetz number. Zbl 1083.55001
Arkowitz, Martin; Brown, Robert F.
4
2004
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
4
2001
The group of self-homotopy equivalences - a survey. Zbl 0713.55004
Arkowitz, Martin
3
1990
The group of homotopy equivalences of products of spheres and of Lie groups. Zbl 1012.55006
Arkowitz, Martin; Strom, Jeffrey
3
2002
H-structures on localized and completed spheres. Zbl 0309.55009
Arkowitz, M.; Ewing, J.; Schiffman, S.
3
1975
Categories equivalent to the category of rational H-spaces. Zbl 0681.55011
Arkowitz, Martin
3
1989
Homotopy coalgebras and \(k\)-fold suspensions. Zbl 0894.55004
Arkowitz, Martin; Golasiński, Marek
3
1997
Comultiplications on free groups and wedges of circles. Zbl 0897.55009
Arkowitz, Martin; Gutierrez, Mauricio
3
1998
Formal differential graded algebras and homomorphisms. Zbl 0644.55010
Arkowitz, Martin
2
1988
The semigroup of self-homotopy classes which induce zero on homotopy groups. Zbl 1002.55010
Arkowitz, Martin; Maruyama, Ken-ichi; Stanley, Donald
2
2002
Homotopy classes of self-maps and induced homomorphisms of homotopy groups. Zbl 1112.55007
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey
2
2006
Homotopy commutators of finite order. II. Zbl 0124.16204
Arkowitz, M.; Curjel, C. R.
2
1964
Zum Begriff des \(H\)-Raumes mod \(\mathcal F\). Zbl 0134.19102
Arkowitz, M.; Curjel, C. R.
2
1965
A homological method for computing certain Whitehead products. Zbl 0165.56602
Arkowitz, M.
2
1968
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
2
1993
Some properties of Hopf-type constructions. Zbl 0848.55007
Arkowitz, Martin; Silberbush, Paul
2
1995
The sectional category of a map. Zbl 1056.55002
Arkowitz, M.; Strom, J.
2
2004
Homotopy classes that are trivial mod \({\mathcal F}\). Zbl 0982.55009
Arkowitz, Martin; Strom, Jeffrey
2
2001
The cohomology flat product and the Berstein algebra of a co-H-space. Zbl 0921.55008
Arkowitz, Martin; Scheerer, Hans
1
1999
Induced mappings of homology decompositions. Zbl 0941.55008
Arkowitz, Martin
1
1998
Localization and H-spaces. Zbl 0336.55015
Arkowitz, Martin
1
1976
Commutators and cup products. Zbl 0124.16203
Arkowitz, M.
1
1964
Co-\(H\)-structures on equivariant Moore spaces. Zbl 0827.55006
Arkowitz, Martin; Golasiński, Marek
1
1994
Equivalent definitions of the Ganea fibrations and cofribations. Zbl 0940.55008
Arkowitz, Martin
1
1999
Comultiplications in algebra and topology. Zbl 0901.18004
Arkowitz, Martin
1
1998
Introduction to homotopy theory. Zbl 1232.55001
Arkowitz, Martin
24
2011
Comultiplications on a wedge of two spheres. Zbl 1229.55009
Arkowitz, Martin; Lee, Dae-Woong
8
2011
Properties of comultiplications on a wedge of spheres. Zbl 1203.55007
Arkowitz, Martin; Lee, Dae-Woong
8
2010
Homotopy classes of self-maps and induced homomorphisms of homotopy groups. Zbl 1112.55007
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey
2
2006
The Lefschetz-Hopf theorem and axioms for the Lefschetz number. Zbl 1083.55001
Arkowitz, Martin; Brown, Robert F.
4
2004
The sectional category of a map. Zbl 1056.55002
Arkowitz, M.; Strom, J.
2
2004
Noncommutativity of the group of self homotopy classes of Lie groups. Zbl 1012.55019
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey
7
2002
The group of homotopy equivalences of products of spheres and of Lie groups. Zbl 1012.55006
Arkowitz, Martin; Strom, Jeffrey
3
2002
The semigroup of self-homotopy classes which induce zero on homotopy groups. Zbl 1002.55010
Arkowitz, Martin; Maruyama, Ken-ichi; Stanley, Donald
2
2002
Problems on self-homotopy equivalences. Zbl 0973.55005
Arkowitz, Martin
6
2001
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
4
2001
Homotopy classes that are trivial mod \({\mathcal F}\). Zbl 0982.55009
Arkowitz, Martin; Strom, Jeffrey
2
2001
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
10
2000
The cohomology flat product and the Berstein algebra of a co-H-space. Zbl 0921.55008
Arkowitz, Martin; Scheerer, Hans
1
1999
Equivalent definitions of the Ganea fibrations and cofribations. Zbl 0940.55008
Arkowitz, Martin
1
1999
Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups. Zbl 0929.55008
Arkowitz, Martin; Maruyama, Ken-ichi
9
1998
Comultiplications on free groups and wedges of circles. Zbl 0897.55009
Arkowitz, Martin; Gutierrez, Mauricio
3
1998
Induced mappings of homology decompositions. Zbl 0941.55008
Arkowitz, Martin
1
1998
Comultiplications in algebra and topology. Zbl 0901.18004
Arkowitz, Martin
1
1998
Homotopy coalgebras and \(k\)-fold suspensions. Zbl 0894.55004
Arkowitz, Martin; Golasiński, Marek
3
1997
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
4
1996
Co-\(H\)-spaces. Zbl 0941.55001
Arkowitz, Martin
14
1995
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
9
1995
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
7
1995
Some properties of Hopf-type constructions. Zbl 0848.55007
Arkowitz, Martin; Silberbush, Paul
2
1995
Co-\(H\)-structures on Moore spaces of type \((G,2)\). Zbl 0829.55006
Arkowitz, Martin; Golasinski, Marek
5
1994
Co-\(H\)-structures on equivariant Moore spaces. Zbl 0827.55006
Arkowitz, Martin; Golasiński, Marek
1
1994
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
2
1993
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
10
1991
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
4
1991
The group of self-homotopy equivalences - a survey. Zbl 0713.55004
Arkowitz, Martin
3
1990
Categories equivalent to the category of rational H-spaces. Zbl 0681.55011
Arkowitz, Martin
3
1989
Formal differential graded algebras and homomorphisms. Zbl 0644.55010
Arkowitz, Martin
2
1988
Sullivan’s minimal models and higher order Whitehead products. Zbl 0441.55012
Andrews, Peter; Arkowitz, Martin
16
1978
Localization and H-spaces. Zbl 0336.55015
Arkowitz, Martin
1
1976
H-structures on localized and completed spheres. Zbl 0309.55009
Arkowitz, M.; Ewing, J.; Schiffman, S.
3
1975
Whitehead products as images of Pontrjagin products. Zbl 0199.58001
Arkowitz, M.
4
1971
Some properties of the exotic multiplications on the three-sphere. Zbl 0176.21102
Arkowitz, M.; Curjel, C. R.
9
1969
A homological method for computing certain Whitehead products. Zbl 0165.56602
Arkowitz, M.
2
1968
On maps of H-spaces. Zbl 0171.21901
Arkowitz, M.; Curjel, C. R.
9
1967
Groups of homotopy classes. 2nd revised ed. Zbl 0166.19001
Arkowitz, M.; Curjel, C. R.
6
1967
Zum Begriff des \(H\)-Raumes mod \(\mathcal F\). Zbl 0134.19102
Arkowitz, M.; Curjel, C. R.
2
1965
The group of homotopy equivalences of a space. Zbl 0129.15401
Arkowitz, M.; Curjel, C. R.
10
1964
The Hurewicz homomorphism and finite homotopy invariants. Zbl 0132.19203
Arkowitz, M.; Curjel, C. R.
9
1964
Groups of homotopy classes. Rank formulas and homotopy commutativity. Zbl 0131.20502
Arkowitz, M.; Curjel, C. R.
4
1964
Homotopy commutators of finite order. II. Zbl 0124.16204
Arkowitz, M.; Curjel, C. R.
2
1964
Commutators and cup products. Zbl 0124.16203
Arkowitz, M.
1
1964
Homotopy products for H-spaces. Zbl 0118.18405
Arkowitz, M.
5
1963
On the number of multiplications of an H-space. Zbl 0121.39804
Arkowitz, M.; Curjel, C. R.
5
1963
Homotopy commutators of finite order. I. Zbl 0122.17802
Arkowitz, M.; Curjel, C. R.
5
1963
The generalized Whitehead product. Zbl 0118.18404
Arkowitz, M.
42
1962
all top 5

Cited by 180 Authors

17 Arkowitz, Martin
12 Golasiński, Marek
12 Lee, Dae-Woong
6 Baues, Hans-Joachim
6 Costoya, Cristina
6 Félix, Yves
6 Kono, Akira
6 Viruel, Antonio
5 Gonçalves, Daciberg Lima
5 Maruyama, Ken-ichi
5 Oda, Nobuyuki
4 Choi, Howon
4 Halperin, Stephen
4 Hamanaka, Hiroaki
4 Kishimoto, Daisuke
4 Lee, Kee Young
4 Lupton, Gregory M.
4 Murillo-Mas, Aniceto
4 Strom, Jeffrey A.
4 Yamaguchi, Toshihiro
3 Buijs, Urtzi
3 De Melo, Thiago
3 Kihara, Hiroshi
3 Marcum, Howard J.
3 Mendez, David
3 Moreno-Fernández, José Manuel
3 Ōshima, Hideaki
3 Rutter, John W.
3 Sasao, Seiya
3 Scheerer, Hans
3 Smith, Samuel Bruce
3 Theriault, Stephen D.
3 Thomas, Jean-Claude
2 Abreu, Miguel
2 Ando, Yutaka
2 Arlt, Dietmar
2 Asok, Aravind
2 Benkhalifa, Mahmoud
2 Blanc, David Abraham
2 Gilbert, William J.
2 Granja, Gustavo
2 Guaschi, John
2 Lambrechts, Pascal
2 Lee, Jinho
2 Manin, Fedor
2 McDuff, Dusa
2 Nomura, Yasutoshi
2 Pavešić, Petar
2 Staecker, Peter Christopher
2 Stanley, Donald A.
2 Stelzer, Manfred
2 Toomer, Graham Hilton
2 Tsukiyama, Kouzou
2 Vandembroucq, Lucile
2 Williams, F. D.
2 Wong, Peter N.-S.
1 Aguadé, Jaume
1 Ando, Hideo
1 Ando, Hiroshi
1 Arlettaz, Dominique
1 Belchí, Francisco
1 Bestvina, Mladen
1 Bilski, Paweł
1 Blagojević, Aleksandra Dimitrijević
1 Blagojević, Pavle V. M.
1 Bousfield, A. K.
1 Boyde, Guy
1 Brown, Robert F.
1 Buchholtz, Ulrik
1 Chocano, Pedro J.
1 Clark, Timothy L.
1 Copeland, Arthur H. jun.
1 Cornea, Octav
1 Crowley, Diarmuid John
1 Curjel, Caspar Robert
1 Cuvilliez, Maxence
1 De Nittis, Giuseppe
1 Dhompongsa, Sompong
1 Didierjean, Genevieve
1 dos Santos, Edivaldo Lopes
1 Doucha, Michal
1 Dula, Giora
1 Eggar, Michael H.
1 El-Ahmady, A. E.
1 Elvira, Carmen
1 End, Werner
1 Fasel, Jean
1 Federinov, Julien
1 Fiorenza, Domenico
1 García-Calcines, Jose Manuel
1 Garvín, Antonio
1 Giuli, Eraldo
1 Goerss, Paul G.
1 Gomi, Kiyonori
1 Goyal, Shuchita
1 Gray, Brayton
1 Gupta, Purvi
1 Gutiérrez, Javier J.
1 Gutierrez, Mauricio A.
1 Hamada, Kazuya
...and 80 more Authors
all top 5

Cited in 65 Serials

35 Topology and its Applications
15 Mathematische Zeitschrift
15 Transactions of the American Mathematical Society
13 Proceedings of the American Mathematical Society
9 Manuscripta Mathematica
8 Journal of Pure and Applied Algebra
7 Journal of Homotopy and Related Structures
5 Archiv der Mathematik
5 Algebraic & Geometric Topology
4 Annales de l’Institut Fourier
3 Compositio Mathematica
3 Inventiones Mathematicae
3 Kodai Mathematical Journal
3 Mathematische Annalen
3 Tohoku Mathematical Journal. Second Series
3 Geometry & Topology
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Duke Mathematical Journal
2 Glasgow Mathematical Journal
2 Journal of the Korean Mathematical Society
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Chinese Annals of Mathematics. Series B
2 Applicable Algebra in Engineering, Communication and Computing
2 Applied Categorical Structures
2 Bulletin of the American Mathematical Society
2 Science China. Mathematics
2 Proceedings of the International Geometry Center
2 Open Mathematics
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Acta Mathematica
1 Bulletin de la Société Mathématique de France
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Collectanea Mathematica
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal für die Reine und Angewandte Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Glasnik Matematički. Serija III
1 Linear Algebra and its Applications
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
1 Georgian Mathematical Journal
1 Filomat
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Abstract and Applied Analysis
1 Journal of Group Theory
1 Journal of the European Mathematical Society (JEMS)
1 JP Journal of Geometry and Topology
1 Fixed Point Theory and Applications
1 Journal of Mathematics and Music
1 Journal of Fixed Point Theory and Applications
1 Logical Methods in Computer Science
1 Journal of \(K\)-Theory
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM

Citations by Year