Pseudo-arcs and connectedness in homeomorphism groups

Wayne Lewis

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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
Issue number4
StatePublished - Apr 1983


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


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