Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy-Reference-Cited by-同舟云学术

Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy

Published:1976 Issue:0 Volume:219 Page:351-360
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Edwards David A.,Geoghegan Ross

Abstract

In Theorem 3.3 and Remark 3.4 conditions are given under which an infinite-dimensional Whitehead theorem holds in pro-homotopy. Applications to shape theory are given in Theorems 1.1, 1.2, 4.1 and 4.2.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1976-219-00/S0002-9947-1976-0402735-4/S0002-9947-1976-0402735-4.pdf

Reference39 articles.

1. Lecture Notes in Mathematics, No. 100;Artin, M.,1969

2. Equivariant 𝐾-theory and completion;Atiyah, M. F.;J. Differential Geometry,1969

3. Concerning homotopy properties of compacta;Borsuk, Karol;Fund. Math.,1968

4. An example concerning the Whitehead theorem in shape theory;Draper, James;Fund. Math.,1976

5. Compacta weak shape equivalent to ANR’s;Edwards, David A.;Fund. Math.,1975

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