MONOIDS OF SELF-MAPS OF TOPOLOGICAL SPHERICAL SPACE FORMS

Daisuke Kishimoto, Nobuyuki Oda

Research output: Contribution to journalArticlepeer-review

Abstract

A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

Original languageEnglish
Pages (from-to)141-149
Number of pages9
JournalHomology, Homotopy and Applications
Volume23
Issue number2
DOIs
Publication statusPublished - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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