A Note about the Definition of CW-Complexes

Marcel Déruaz, Mary O'Keefe · Canadian Mathematical Bulletin · 1971

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.

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