A note on fixed point free involutions and equivariant maps

Jack Ucci

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The space P(Sn) of all paths co in Sn with given initial point x and endpoint — x admits an involution (Tw)(t) = -w(1-t). With the standard antipodal involution on Sn-1 an equivariant map P(Sn) -Sn-1 is constructed for n = 2, 4, or 8.

Original languageEnglish (US)
Pages (from-to)297-298
Number of pages2
JournalProceedings of the American Mathematical Society
Volume31
Issue number1
DOIs
StatePublished - Jan 1972

Keywords

  • Co-index
  • Equivariant map
  • Fixed point free involution

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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