A metric condition which implies dimension ≤ 1

Michael Levin, Roman Pol

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A class of 1-dimensional spaces is distinguished by special type embeddings in compacta, or a corresponding metric property. In this setting, a simple proof of the Oversteegen-Tymchatyn theorem that the spaces of homeomorphisms of the Sierpiriski's Carpet and the Menger Universal Curve have dimension ≤ 1 is given.

Original languageEnglish
Pages (from-to)269-273
Number of pages5
JournalProceedings of the American Mathematical Society
Volume125
Issue number1
DOIs
StatePublished - 1 Jan 1997
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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