Homotopy idempotents on finite-dimensional complexes split-Reference-Cited by-同舟云学术

Homotopy idempotents on finite-dimensional complexes split

Published:1982 Issue:4 Volume:85 Page:619-622
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hastings Harold M.,Heller Alex

Abstract

We prove that (unpointed) homotopy idempotents on finite-dimensional complexes split, and describe some geometric consequences.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-085-04/S0002-9939-1982-0660617-5/S0002-9939-1982-0660617-5.pdf

Reference16 articles.

1. Lecture Notes in Mathematics, Vol. 304;Bousfield, A. K.,1972

2. Cohomology theories;Brown, Edgar H., Jr.;Ann. of Math. (2),1962

3. On some applications of infinite-dimensional manifolds to the theory of shape;Chapman, T. A.;Fund. Math.,1972

4. Finding a boundary for a Hilbert cube manifold;Chapman, T. A.;Acta Math.,1976

5. A simple proof that pointed FANR-spaces are regular fundamental retracts of ANR’s;Dydak, Jerzy;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom. Phys.,1977

Cited by 15 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. Shape Theory;Journal of Mathematical Sciences;2021-11-16

2. 2-dimensional polyhedra with finite depth;Topology and its Applications;2018-06

3. Cartesian powers of shapes of FANR's and polyhedra;Topology and its Applications;2017-12

4. 2-dimensional polyhedra with infinitely many left neighbors;Topology and its Applications;2012-04

5. Homotopy decompositions of polyhedra into products with the second factor S1;Topology and its Applications;2010-11