Abstract
Versions of the finiteness obstruction and simple homotopy theory “within ε overX” are developed. This provides a setting for obstructions to the map analogs of the end ands-cobordism theorems for manifolds. These are applied to study equivariant mapping cylinder neighborhoods in topological group actions, triangulations of locally triangulable spaces, and block bundle structures on approximate fibrations.
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Quinn, F. Ends of maps, II. Invent Math 68, 353–424 (1982). https://doi.org/10.1007/BF01389410
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DOI: https://doi.org/10.1007/BF01389410