chapter  21
18 Pages

Construction of Spaces: Cell Complexes and more Adjunction Spaces

WithMarvin J. Greenberg, John R. Harper

(21.1) We consider now a special class of spherical complexes called finite cell complexes. These are compact Hausdorff spaces Z such that Z has a finite collection of closed subsets c j q (were q = 0, 1, …, represents the dimension, and j ranges over some index set Jq ) with the following properties: Let Z q = ∪ { c j p |   all  j ∈ J p ,     all     p ≤ q } , Z − 1 = empty     set ,