Note on epimorphisms and monomorphisms in homotopy theory-Reference-Cited by-同舟云学术

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Note on epimorphisms and monomorphisms in homotopy theory

Published:1984 Issue:2 Volume:90 Page:316-320
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hilton Peter,Roitberg Joseph

Abstract

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. Our principal theorems allow us to infer that under suitable finiteness and fundamental group assumptions, such are in fact homotopy equivalences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-090-02/S0002-9939-1984-0727257-2/S0002-9939-1984-0727257-2.pdf

Reference4 articles.

1. M. Castellet, P. Hilton and J. Roitberg, On pseudo-identities. II (in preparation).

2. North-Holland Mathematics Studies, No. 15;Hilton, Peter,1975

3. On pseudo-identities. I;Hilton, Peter;Arch. Math. (Basel),1983

4. H. Hopf, Beiträge zur Klassifizierung der Flächenabbildungen, J. Reine Angew. Math. 165 (1931), 225-236.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Homotopy epimorphisms in homotopy pullbacks;Topology and its Applications;1994-09

2. Fibrations with Hopfian properties;Israel Journal of Mathematics;1989-12

3. Monomorphisms and epimorphisms in homotopy theory;Israel Journal of Mathematics;1983-09

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