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A remark on proper partitions of unity

2011/12/22 by J.M. García-Calcines, Jose M. Garcia Calcines, Calcines, Jose M. Garcia
Mathematics · Medicine · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.AT

paper · pdf · doi:10.48550/arxiv.1112.5409

15 pages, 1 figure

arxiv created 2011/12/22 · openalex publication_date 2011/12/22 · arxiv updated 2011/12/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

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