Results 1 to 10 of about 5,890 (69)
The homotopy category of monomorphisms between projective modules [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2023 Let $(S, \n)$ be a commutative noetherian local ring and $ω\in\n$ be non-zerodivisor. This paper deals with the behavior of the category $\mon(ω, \cp)$ consisting of all monomorphisms between finitely generated projective $S$-modules with cokernels annihilated by $ω$. We introduce a homotopy category $\HT\mon(ω, \cp)$, which is shown to be triangulated.
Abdolnaser Bahlekeh +3 more
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Epimorphisms and Monomorphisms in Homotopy [PDF]
Proceedings of the American Mathematical Society, 1992 The main result of this note is the following: Theorem A. If f : X → Y f:X \to Y is an epimorphism of H C W ∗ \mathcal {H}\mathcal {C}{\mathcal {W}^*} , the ...
Jerzy Dydak
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Note on Epimorphisms and Monomorphisms in Homotopy Theory [PDF]
Proceedings of the American Mathematical Society, 1984 We study epimorphisms e : X → X e:X \to X and monomorphisms m : X → X m:X \to X in the pointed homotopy category of path-connected CW-spaces.
Peter Hilton, Joseph Roitberg
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Homotopy monomorphisms and homotopy pushouts
Topology and its Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sonia Ghorbal
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On epimorphisms and monomorphisms in the homotopy category of CW complexes
Japanese journal of mathematics. New series, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takao Matumoto, Tetsusuke Ohkawa
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Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1995 Let \(G\) be a finite group. Using Bredon-Illman cohomology with equivariant local coefficients systems conditions are given on a morphism in the \(G\)-homotopy category of pointed \(G\)-complexes to be an equivalence. In the case of the trivial group a variant of a result of \textit{E. Dyer} and \textit{J. Roitberg} [Topology Appl.
Goutam Mukherjee
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On homotopy regular monomorphisms
Chinese Science Bulletin, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen Jixiang
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On monomorphisms in homotopy theory
Topology, 1967 A MAP h : Y ~ Z is a monomorphism in the category o f based topological spaces and based homotopy classes o f maps if, for any space X and any two maps f , g : X ~ Y, h o f ,,~ h o g imp l i e s f _ g [6; p. 168]. Let O denote the constant map with arbitrary domain and range, and suppose h is a fibre map with fibre X and inclusion e : X ~ Y; then, h o ...
Tudor Ganea
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Semilocalization of epimorphisms and monomorphisms in homotopy theory
Topology and its Applications, 1998 AbstractIn this note, we prove that semilocalization of spaces preserves homotopy monomorphisms and homotopy epimorphisms which induce an isomorphism in fundamental groups, and also prove that homotopy epimorphisms preserve p-nilpotency for every prime or zero p.
Wenhuai Shen, Zai-si Zuo
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Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences
Topology and its Applications, 1992 In a general category, a morphism which is both an epimorphism and a monomorphism need not be an equivalence. However, the authors prove that it is in the case of the homotopy category of pointed path-connected CW- spaces. In fact, they obtain this result as a corollary of a variant of a classical theorem of J. H. C. Whitehead that they prove.
Eldon Dyer, Joseph Roitberg
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