Arkowitz, Martin Binary operations for homotopy groups with coefficients. (English) Zbl 1412.55012 Sci. China, Math. 61, No. 9, 1543-1552 (2018). Reviewer: Marek Golasiński (Olsztyn) MSC: 55Q35 16E30 55Q05 PDFBibTeX XMLCite \textit{M. Arkowitz}, Sci. China, Math. 61, No. 9, 1543--1552 (2018; Zbl 1412.55012) Full Text: DOI arXiv
Arkowitz, Martin; Maruyama, Ken-Ichi The Gottlieb group of a wedge of suspensions. (English) Zbl 1314.55009 J. Math. Soc. Japan 66, No. 3, 735-743 (2014). Reviewer: Marek Golasiński (Olsztyn) MSC: 55Q20 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{K.-I. Maruyama}, J. Math. Soc. Japan 66, No. 3, 735--743 (2014; Zbl 1314.55009) Full Text: DOI Euclid
Arkowitz, Martin Introduction to homotopy theory. (English) Zbl 1232.55001 Universitext. Berlin: Springer (ISBN 978-1-4419-7328-3/pbk; 978-1-4419-7329-0/ebook). xiii, 344 p. (2011). Reviewer: Samuel Smith (Philadelphia) MSC: 55-01 55P30 PDFBibTeX XMLCite \textit{M. Arkowitz}, Introduction to homotopy theory. Berlin: Springer (2011; Zbl 1232.55001) Full Text: DOI
Arkowitz, Martin; Lee, Dae-Woong Comultiplications on a wedge of two spheres. (English) Zbl 1229.55009 Sci. China, Math. 54, No. 1, 9-22 (2011). Reviewer: Yutaka Hemmi (Kochi) MSC: 55Q25 55Q15 55P40 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{D.-W. Lee}, Sci. China, Math. 54, No. 1, 9--22 (2011; Zbl 1229.55009) Full Text: DOI
Arkowitz, Martin; Lee, Dae-Woong Properties of comultiplications on a wedge of spheres. (English) Zbl 1203.55007 Topology Appl. 157, No. 9, 1607-1621 (2010). Reviewer: Samuel Smith (Philadelphia) MSC: 55Q25 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{D.-W. Lee}, Topology Appl. 157, No. 9, 1607--1621 (2010; Zbl 1203.55007) Full Text: DOI
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey Homotopy classes of self-maps and induced homomorphisms of homotopy groups. (English) Zbl 1112.55007 J. Math. Soc. Japan 58, No. 2, 401-418 (2006). Reviewer: John McCleary (Poughkeepsie) MSC: 55P10 55P45 55P60 55Q05 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., J. Math. Soc. Japan 58, No. 2, 401--418 (2006; Zbl 1112.55007) Full Text: DOI
Arkowitz, Martin Duan’s fixed point theorem: proof and generalization. (English) Zbl 1093.55002 Fixed Point Theory Appl. 2006, Spec. Iss., Article 17563, 10 p. (2006). Reviewer: Robert F. Brown (Los Angeles) MSC: 55M20 PDFBibTeX XMLCite \textit{M. Arkowitz}, Fixed Point Theory Appl. 2006, No. 2, Article 17563, 10 p. (2006; Zbl 1093.55002) Full Text: DOI EuDML
Arkowitz, Martin; Lupton, Gregory Homotopy actions, cyclic maps and their duals. (English) Zbl 1083.55011 Homology Homotopy Appl. 7, No. 1, 169-184 (2005). Reviewer: Jean Claude Thomas (Angers) MSC: 55Q05 55M30 55P30 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Homology Homotopy Appl. 7, No. 1, 169--184 (2005; Zbl 1083.55011) Full Text: DOI arXiv EuDML EMIS
Arkowitz, Martin; Stanley, Donald; Strom, Jeffrey The cone length and category of maps: pushouts, products and fibrations. (English) Zbl 1078.55006 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 517-545 (2004). Reviewer: Július Korbaš (Bratislava) MSC: 55M30 55P99 55R05 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 517--545 (2004; Zbl 1078.55006) Full Text: arXiv
Arkowitz, Martin; Strom, Jeffrey Nearly trivial homotopy classes between finite complexes. (English) Zbl 1025.55006 Topology Appl. 125, No. 2, 203-213 (2002). Reviewer: D.H.Gottlieb (Lafayette) MSC: 55P99 55P60 55M30 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{J. Strom}, Topology Appl. 125, No. 2, 203--213 (2002; Zbl 1025.55006) Full Text: DOI
Arkowitz, Martin; Ōshima, Hideaki; Strom, Jeffrey Noncommutativity of the group of self homotopy classes of Lie groups. (English) Zbl 1012.55019 Topology Appl. 125, No. 1, 87-96 (2002). Reviewer: C.S.Hoo (Edmonton / Alberta) MSC: 55Q05 57T20 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., Topology Appl. 125, No. 1, 87--96 (2002; Zbl 1012.55019) Full Text: DOI
Arkowitz, Martin; Strom, Jeffrey The group of homotopy equivalences of products of spheres and of Lie groups. (English) Zbl 1012.55006 Math. Z. 240, No. 4, 689-710 (2002). Reviewer: J.W.Rutter (Liverpool) MSC: 55P10 55P60 55S37 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{J. Strom}, Math. Z. 240, No. 4, 689--710 (2002; Zbl 1012.55006) Full Text: DOI
Arkowitz, Martin; Oshima, Hideaki; Strom, Jeffrey The inverses of an \(H\)-space. (English) Zbl 1012.55011 Manuscr. Math. 108, No. 3, 399-408 (2002). Reviewer: Gregory Lupton (Cleveland) MSC: 55P45 55P62 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., Manuscr. Math. 108, No. 3, 399--408 (2002; Zbl 1012.55011) Full Text: DOI
Arkowitz, Martin; Maruyama, Ken-ichi; Stanley, Donald The semigroup of self-homotopy classes which induce zero on homotopy groups. (English) Zbl 1002.55010 Kyushu J. Math. 56, No. 1, 89-107 (2002). Reviewer: C.S.Hoo (Edmonton) MSC: 55Q05 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., Kyushu J. Math. 56, No. 1, 89--107 (2002; Zbl 1002.55010) Full Text: DOI
Arkowitz, Martin; Gutierrez, Mauricio Equalizers and coactions of groups. (English) Zbl 1049.20011 Fundam. Math. 171, No. 2, 155-165 (2002). Reviewer: Martyn Dixon (Tuscaloosa) MSC: 20E06 20E36 55P05 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{M. Gutierrez}, Fundam. Math. 171, No. 2, 155--165 (2002; Zbl 1049.20011) Full Text: DOI
Arkowitz, Martin Problems on self-homotopy equivalences. (English) Zbl 0973.55005 Maruyama, Ken-ichi (ed.) et al., Groups of homotopy self-equivalences and related topics. Proceedings of the workshop, Gargnano, Italy, September 5-11, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 274, 309-315 (2001). MSC: 55P10 PDFBibTeX XMLCite \textit{M. Arkowitz}, Contemp. Math. 274, 309--315 (2001; Zbl 0973.55005)
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto Subgroups of the group of self-homotopy equivalences. (English) Zbl 0982.55002 Maruyama, Ken-ichi (ed.) et al., Groups of homotopy self-equivalences and related topics. Proceedings of the workshop, Gargnano, Italy, September 5-11, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 274, 21-32 (2001). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55P10 55Q05 55P62 PDFBibTeX XMLCite \textit{M. Arkowitz} et al., Contemp. Math. 274, 21--32 (2001; Zbl 0982.55002) Full Text: arXiv
Arkowitz, Martin; Strom, Jeffrey Homotopy classes that are trivial mod \({\mathcal F}\). (English) Zbl 0982.55009 Algebr. Geom. Topol. 2001, No. 1, 381-409 (2001). Reviewer: I.Ivanšić (Zagreb) MSC: 55Q05 55P65 55M30 55P45 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{J. Strom}, Algebr. Geom. Topol. 1, 381--409 (2001; Zbl 0982.55009) Full Text: DOI arXiv EuDML EMIS
Arkowitz, Martin; Gutierrez, Mauricio Co-actions of groups. (English) Zbl 0984.20013 Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 2, 225-239 (2001). Reviewer: Alexander Ivanovich Budkin (Barnaul) MSC: 20E06 55P05 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{M. Gutierrez}, Proc. R. Soc. Edinb., Sect. A, Math. 131, No. 2, 225--239 (2001; Zbl 0984.20013) Full Text: DOI
Arkowitz, Martin On Whitehead’s inequality, \(\text{nil}[X,G]\leq\text{cat}X\). (English) Zbl 0967.55005 Int. J. Math. Math. Sci. 25, No. 5, 311-313 (2001). Reviewer: Yuli Rudyak (Heidelberg) MSC: 55M30 55Q05 55P45 PDFBibTeX XMLCite \textit{M. Arkowitz}, Int. J. Math. Math. Sci. 25, No. 5, 311--313 (2001; Zbl 0967.55005) Full Text: DOI EuDML
Arkowitz, Martin; Lupton, Gregory Rational obstruction theory and rational homotopy sets. (English) Zbl 0968.55005 Math. Z. 235, No. 3, 525-539 (2000). Reviewer: Corina Mohorianu (Iaşi) MSC: 55P62 55S35 55Q05 55P10 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Math. Z. 235, No. 3, 525--539 (2000; Zbl 0968.55005) Full Text: DOI arXiv
Arkowitz, Martin; Maruyama, Ken-ichi Self-homotopy equivalences which induce the identity on homology, cohomology or homotopy groups. (English) Zbl 0929.55008 Topology Appl. 87, No. 2, 133-154 (1998). Reviewer: D.W.Kahn (Minneapolis) MSC: 55P10 57P10 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{K.-i. Maruyama}, Topology Appl. 87, No. 2, 133--154 (1998; Zbl 0929.55008) Full Text: DOI
Arkowitz, Martin Comultiplications in algebra and topology. (English) Zbl 0901.18004 Rend. Semin. Mat. Fis. Milano 66(1996), 63-85 (1998). MSC: 18D35 16W30 16S10 55P45 57T05 PDFBibTeX XMLCite \textit{M. Arkowitz}, Rend. Semin. Mat. Fis. Milano 66, 63--85 (1998; Zbl 0901.18004) Full Text: DOI
Arkowitz, Martin; Golasiński, Marek Homotopy coalgebras and \(k\)-fold suspensions. (English) Zbl 0894.55004 Hiroshima Math. J. 27, No. 2, 209-220 (1997). Reviewer: G.Peschke (Edmonton) MSC: 55P40 18C15 55P45 55P15 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{M. Golasiński}, Hiroshima Math. J. 27, No. 2, 209--220 (1997; Zbl 0894.55004)
Arkowitz, Martin; Maruyama, Ken-ichi Self-equivalences which induce the identity map on homotopy and homology. (English) Zbl 0928.55006 Bull. Fac. Educ., Chiba Univ., III: Nat. Sci. 45, 17-20 (1997). Reviewer: J.W.Rutter (Liverpool) MSC: 55P10 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{K.-i. Maruyama}, Bull. Fac. Educ., Chiba Univ., III: Nat. Sci. 45, 17--20 (1997; Zbl 0928.55006)
Arkowitz, Martin; Lupton, Gregory On the nilpotency of subgroups of self-homotopy equivalences. (English) Zbl 0851.55017 Broto, Carles (ed.) et al., Algebraic topology: new trends in localization and periodicity. Barcelona conference on algebraic topology (BCAT), Sant Feliu de Guíxols, Spain, June 1-7, 1994. Basel: Birkhäuser. Prog. Math. 136, 1-22 (1996). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55P62 55P60 55M30 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Prog. Math. 136, 1--22 (1996; Zbl 0851.55017)
Arkowitz, Martin; Lupton, Gregory Equivalence classes of homotopy-associative comultiplications of finite complexes. (English) Zbl 0862.57026 J. Pure Appl. Algebra 102, No. 2, 109-136 (1995). Reviewer: C.Mohorianu (Iaşi) MSC: 57T05 55P62 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, J. Pure Appl. Algebra 102, No. 2, 109--136 (1995; Zbl 0862.57026) Full Text: DOI
Arkowitz, Martin; Lupton, Gregory On finiteness of subgroups of self-homotopy equivalences. (English) Zbl 0830.55010 Cenkl, Mila (ed.) et al., The Čech centennial. A conference on homotopy theory dedicated to Eduard Čech on the occasion of his 100th birthday, June 22-26, 1993, Northeastern University, Boston, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 181, 1-25 (1995). Reviewer: J.W.Rutter (Liverpool) MSC: 55Q05 55P62 55P10 55S35 55P60 55P45 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Contemp. Math. 181, 1--25 (1995; Zbl 0830.55010)
Arkowitz, Martin; Golasiński, Marek Co-\(H\)-structures on equivariant Moore spaces. (English) Zbl 0827.55006 Fundam. Math. 146, No. 1, 59-67 (1994). MSC: 55P45 55P91 55U35 18G55 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{M. Golasiński}, Fundam. Math. 146, No. 1, 59--67 (1994; Zbl 0827.55006) Full Text: DOI EuDML
Arkowitz, Martin; Golasinski, Marek Co-\(H\)-structures on Moore spaces of type \((G,2)\). (English) Zbl 0829.55006 Can. J. Math. 46, No. 4, 673-686 (1994). Reviewer: J.W.Rutter (Liverpool) MSC: 55P62 57T15 55P10 55P40 55P45 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{M. Golasinski}, Can. J. Math. 46, No. 4, 673--686 (1994; Zbl 0829.55006) Full Text: DOI
Arkowitz, Martin; Lupton, Gregory Minimal models of loop spaces and suspensions. (English) Zbl 0808.55009 Manuscr. Math. 79, No. 3-4, 415-433 (1993). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 55P62 55P45 55P40 55P35 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Manuscr. Math. 79, No. 3--4, 415--433 (1993; Zbl 0808.55009) Full Text: DOI EuDML
Arkowitz, Martin; Lupton, Gregory Loop-theoretic properties of H-spaces. (English) Zbl 0732.55008 Math. Proc. Camb. Philos. Soc. 110, No. 1, 121-136 (1991). Reviewer: J.C.Thomas (Villeneuve d’Ascq) MSC: 55P62 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Math. Proc. Camb. Philos. Soc. 110, No. 1, 121--136 (1991; Zbl 0732.55008) Full Text: DOI
Arkowitz, Martin; Lupton, Gregory Rational co-H-spaces. (English) Zbl 0724.55009 Comment. Math. Helv. 66, No. 1, 79-108 (1991). Reviewer: J.C.Thomas (Villeneuve d’Ascq) MSC: 55P62 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{G. Lupton}, Comment. Math. Helv. 66, No. 1, 79--108 (1991; Zbl 0724.55009) Full Text: DOI EuDML
Arkowitz, Martin The group of self-homotopy equivalences - a survey. (English) Zbl 0713.55004 Groups of self-equivalences and related topics, Proc. Conf., Montréal/Can. 1988, Lect. Notes Math. 1425, 170-203 (1990). Reviewer: H.Scheerer MSC: 55P10 55S37 PDFBibTeX XML
Arkowitz, Martin When is the homotopy set [X,Y] infinite? (English) Zbl 0708.55007 Topology and combinatorial group theory, Proc. Fall Foliage Topology Semin., New Hampshire/UK 1986-88, Lect. Notes Math. 1440, 22-26 (1990). Reviewer: J.C.Thomas MSC: 55P62 PDFBibTeX XML
Arkowitz, Martin Categories equivalent to the category of rational H-spaces. (English) Zbl 0681.55011 Manuscr. Math. 64, No. 4, 419-429 (1989). Reviewer: J.C.Thomas MSC: 55P62 57T05 PDFBibTeX XMLCite \textit{M. Arkowitz}, Manuscr. Math. 64, No. 4, 419--429 (1989; Zbl 0681.55011) Full Text: DOI EuDML
Arkowitz, Martin Formal differential graded algebras and homomorphisms. (English) Zbl 0644.55010 J. Pure Appl. Algebra 51, No. 1-2, 35-52 (1988). Reviewer: J.C.Thomas MSC: 55P62 55Q05 55P10 PDFBibTeX XMLCite \textit{M. Arkowitz}, J. Pure Appl. Algebra 51, No. 1--2, 35--52 (1988; Zbl 0644.55010) Full Text: DOI
Andrews, Peter; Arkowitz, Martin Sullivan’s minimal models and higher order Whitehead products. (English) Zbl 0441.55012 Can. J. Math. 30, 961-982 (1978). MSC: 55Q15 55P62 55P60 PDFBibTeX XMLCite \textit{P. Andrews} and \textit{M. Arkowitz}, Can. J. Math. 30, 961--982 (1978; Zbl 0441.55012) Full Text: DOI
Arkowitz, Martin Localization and H-spaces. (English) Zbl 0336.55015 Lecture Notes Series. 44. Aarhus: Matematisk Institut, Aarhus Universitet. III, 143 p. $ 2.00; D.Kr. 12.00 (1976). MSC: 55P45 55-02 55P99 PDFBibTeX XML
Arkowitz, M.; Curjel, C. R. Groups of homotopy classes. Rank formulas and homotopy commutativity. (English) Zbl 0131.20502 Lecture Notes in Mathematics. 4, Berlin-Göttingen-Heidelberg-New York: Springer-Verlag, 36 p. (1964). Reviewer: F. W. Bauer MSC: 55Qxx 55-02 PDFBibTeX XML
Arkowitz, M.; Curjel, C. R. The group of homotopy equivalences of a space. (English) Zbl 0129.15401 Bull. Am. Math. Soc. 70, 293-296 (1964). MSC: 55Q05 PDFBibTeX XMLCite \textit{M. Arkowitz} and \textit{C. R. Curjel}, Bull. Am. Math. Soc. 70, 293--296 (1964; Zbl 0129.15401) Full Text: DOI