Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659331 | Topology and its Applications | 2012 | 4 Pages |
Abstract
We show that for every pair (X,Y) of ANR compacta, Y⊂X, the free abelian topological group applied to a collapsing map q:X→X/Y produces a locally trivial bundle A(q):A(X)→A(X/Y) with the fiber A(Y). As a result we obtain a short proof of the classical Dold–Thom theorem which states that for all complexes X.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology