Thickenings of CW Complexes of the Form S m ∪ α e n

1979 ◽  
Vol 247 ◽  
pp. 177
Author(s):  
George Cooke
Keyword(s):  
Cw Complexes

scholarly journals Spaces which Invert Weak Homotopy Equivalences

2018 ◽  
Vol 62 (2) ◽  
pp. 553-558
Author(s):  
Jonathan Ariel Barmak
Keyword(s):  
Empty Space ◽  
Weak Equivalence ◽  
Homotopy Equivalence ◽  
Homotopy Classes ◽  
Cw Complex ◽  
Cw Complexes ◽  
Weak Homotopy ◽  
Weak Homotopy Equivalence

AbstractIt is well known that if X is a CW-complex, then for every weak homotopy equivalence f : A → B, the map f* : [X, A] → [X, B] induced in homotopy classes is a bijection. In fact, up to homotopy equivalence, only CW-complexes have that property. Now, for which spaces X is f* : [B, X] → [A, X] a bijection for every weak equivalence f? This question was considered by J. Strom and T. Goodwillie. In this note we prove that a non-empty space inverts weak equivalences if and only if it is contractible.

scholarly journals One-point reductions of finite spaces,h–regular CW–complexes and collapsibility

2008 ◽  
Vol 8 (3) ◽  
pp. 1763-1780 ◽  
Author(s):  
Jonathan Barmak ◽  
Elias Minian
Keyword(s):  
Cw Complexes ◽  
Finite Spaces

Lie models for topological spaces and CW complexes

2001 ◽  
pp. 322-336
Author(s):  
Yves Félix ◽  
Stephen Halperin ◽  
Jean-Claude Thomas
Keyword(s):  
Topological Spaces ◽  
Cw Complexes

CW-Complexes and Homology

2002 ◽  
pp. 149-188
Author(s):  
Marcelo Aguilar ◽  
Samuel Gitler ◽  
Carlos Prieto
Keyword(s):  
Cw Complexes
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