On the proper homotopy invariance of the Tucker property

Daniele Ettore Otera, Daniele Ettore Otera

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A non-compact polyhedron P is Tucker if, for any compact subset K ⊂ P, the fundamental group π 1(P − K) is finitely generated. The main result of this note is that a manifold which is proper homotopy equivalent to a Tucker polyhedron is Tucker. We use Poenaru’s theory of the equivalence relations forced by the singularities of a non-degenerate simplicial map
Original languageEnglish
Pages (from-to)571-576
Number of pages6
JournalActa Mathematica Sinica
Volume23
Publication statusPublished - 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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