The free topological group on a cell complex-Reference-Cited by-同舟云学术

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The free topological group on a cell complex

Published:1974-12 Issue:3 Volume:11 Page:455-463
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Hardy J.P.L.

Abstract

It is proved that the free k-group on a CW-complex X is itself a CW-complex containing X as a subcomplex. It follows, as a corollary, that the free topological group on a countable CW-complex is a countable CW-complex.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. [11] Ordman Edward T. , “Free k–groups and free topological groups”, General Topology and Appl. (to appear).

2. [10] Ordman Edward T. , “Free products of topological groups which are kω –spaces”, Trans. Amer. Math. Soc. (to appear).

3. Classifying spaces and infinite symmetric products

4. On free topological groups;Markov;Amer. Math. Soc. Transl.,1962

5. The Topology of CW Complexes

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1. Algebraic objects generated by topological structure;Journal of Soviet Mathematics;1989-04

2. Une remarque sur le classifiant d'une cat�gorie topologique;Archiv der Mathematik;1985-07

3. Topological groups;Journal of Soviet Mathematics;1985-03

4. The free topological group over the rationals;General Topology and its Applications;1979-02

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