Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(3): 961-971

Online first article March 27, 2018      Printed July 1, 2018

https://doi.org/10.4134/CKMS.c170304

Copyright © The Korean Mathematical Society.

Homotopy minimal periods of maps on the Klein bottle

Jong Bum Lee

Sogang University

Abstract

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We determine the sets of homotopy minimal periods of all self-maps on the Klein bottle by using a single formula for homotopy minimal periods of maps on the infra-solvmanifolds of type $\mathrm{(R)}$. This provides an alternate but an easy proof for the main results of \cite{KKZ}.

Keywords: homotopy minimal period, infra-solvmanifold, Klein bottle

MSC numbers: 55M20, 37C25

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