The singular cubical set of a topological space
UNSPECIFIED (1999) The singular cubical set of a topological space. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 126 (Part 1). pp. 149-154. ISSN 0305-0041Full text not available from this repository.
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  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|
|Number of Pages:||6|
|Page Range:||pp. 149-154|
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