Pseudo-arcs and connectedness in homeomorphism groups

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

We prove that the homeomorphism group of the pseudo-arc contains no nondegeneratc continua. An equivalent result holds for any continuum all of whose small subcontinua are pseudo-arcs. e.g. for the pseudo-circle and the circle of pseudo-arcs. Related questions arc briefly mentioned.

Original languageEnglish
Pages (from-to)745-748
Number of pages4
JournalProceedings of the American Mathematical Society
Volume87
Issue number4
DOIs
StatePublished - Apr 1983

Keywords

  • Continuum
  • Hereditary indccomposability
  • Homeomorphism group
  • Homogeneity
  • Pseudo-arc

Fingerprint Dive into the research topics of 'Pseudo-arcs and connectedness in homeomorphism groups'. Together they form a unique fingerprint.

  • Cite this