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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.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | ||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||
ISSN: | 0305-0041 | ||||
Official Date: | January 1999 | ||||
Dates: |
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Volume: | 126 | ||||
Number: | Part 1 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 149-154 | ||||
Publication Status: | Published |
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