A remark on proper partitions of unity

Details A remark on proper partitions of unity A remark on proper partitions of unity

2011-12-22

arxiv.org/abs/1112.5409v1

Mathematics

Algebraic Topology

15 pages, 1 figure

Scientific paper

In this paper we introduce, by means of the category of exterior spaces and
using a process that generalizes the Alexandroff compactification, an analogue
notion of numerable covering of a space in the proper and exterior setting. An
application is given for fibrewise proper homotopy equivalences.

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