Periods of continuous maps on closed surfaces

Juan Luis García Guirao, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2017 Rocky Mountain Mathematics Consortium. The objective of the present work is to present information on the set of periodic points of a continuous self-map on a closed surface which can be obtained using the action of this map on homological groups of the closed surface.
Original languageEnglish
Pages (from-to)1089-1096
JournalRocky Mountain Journal of Mathematics
Volume47
Issue number4
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Closed surface
  • Continuous self-map
  • Lefschetz fixed point theory
  • Periodic point
  • Set of periods

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