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A Note about the Definition of CW-Complexes

Published online by Cambridge University Press:  20 November 2018

Marcel Déruaz  and
Mary O'Keefe
Marcel Déruaz
Affiliation:
University of Ottawa, Ottawa, Ontario
Mary O'Keefe
Affiliation:
University of Ottawa, Ottawa, Ontario
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In [1] Whitehead defined a CW-complex as a closure finite cell complex with the weak topology (i.e. a topology coherent with the family of closed cells, in Spanier's terminology). The purpose of this note is to show that these two conditions imposed on cell complexes can be replaced by a single one.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 559
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Whitehead, J. H. C., Combinatorial homotopy I, Bull. Amer. Math. Soc. 55 (1949), 85-117.Google Scholar