English

A remark on proper partitions of unity

Algebraic Topology 2011-12-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1112.5409,
  title  = {A remark on proper partitions of unity},
  author = {Jose M. Garcia Calcines},
  journal= {arXiv preprint arXiv:1112.5409},
  year   = {2011}
}

Comments

15 pages, 1 figure