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The singular cubical set of a topological space
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UNSPECIFIED (1999) The singular cubical set of a topological space. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 126 (Part 1). pp. 149-154. ISSN 0305-0041
Full text not available from this repository.Abstract
For any topological space X let C(X) be the realization of the singular cubical set of X; let * be the topological space consisting of one point. In [1] Antolini proves, as a corollary to a general theorem about cubical sets, that C(X) and X x C(*) are homotopy equivalent, provided X is a CW-complex. In this note we give a short geometric proof that for any topological space X there is a natural weak homotopy equivalence between C(X) and X x C(*).
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY |
| Publisher: | CAMBRIDGE UNIV PRESS |
| ISSN: | 0305-0041 |
| Date: | January 1999 |
| Volume: | 126 |
| Number: | Part 1 |
| Number of Pages: | 6 |
| Page Range: | pp. 149-154 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/14783 |
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