Mappings which are stable with respect to the property dim ƒ(X) ≥ k

Michael Levin, Yaki Sternfeld

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A continuous mapping f{hook} : X → Y is called k-stable if for every metric space E that contains Y there exists a neighborhood U of f{hook} in C(X, E) such that dim g(X) ≥ k for all g in U. The paper is devoted to the study of k-stable maps on compact metric spaces.

Original languageEnglish
Pages (from-to)241-265
Number of pages25
JournalTopology and its Applications
Volume52
Issue number3
DOIs
StatePublished - 18 Oct 1993
Externally publishedYes

Keywords

  • Chogoshvili's conjecture
  • Dimension of compacta
  • Essential and stable maps
  • Stable values
  • Uppersemicontinuous decompositions

ASJC Scopus subject areas

  • Geometry and Topology

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