Continua whose homeomorphism groups are generated by arbitrarily small neighborhoods of the identity

Wayne Lewis, You Cheng Zhou

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The first author has shown that the pseudo-arc has the property that every self-homeomorphism is a composition of E-homeomorphisms. We present results and examples concerning other continua and self-homeomorphisms which have this property.

Original languageEnglish
Pages (from-to)409-417
Number of pages9
JournalTopology and its Applications
Volume126
Issue number3
DOIs
StatePublished - Dec 10 2002

Keywords

  • Approximate homeomorphism lifting property
  • Homeomorphism group
  • Locally generated
  • Pseudo-arc

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