Locally contractible spaces that are absolute neighborhood retracts

Author:

Haver William E.

Abstract

It is shown that every locally contractible metric space that is the countable union of finite dimensional compacta is an absolute neighborhood retract.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Local contractibility of the group of homeomorphisms of a manifold.;Černavskiĭ, A. V.;Dokl. Akad. Nauk SSSR,1968

2. Local contractibility of the group of homeomorphisms of a manifold.;Černavskiĭ, A. V.;Mat. Sb. (N.S.),1969

3. On spaces of homeomorphisms, embeddings, and functions. II. The piecewise linear case;Geoghegan, Ross;Proc. London Math. Soc. (3),1973

4. Some theorems on absolute neighborhood retracts;Hanner, Olof;Ark. Mat.,1951

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