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The least number, of n-periodic points of a self-map of a solvmanifold, can be realised by a smooth map

Authors :
Jerzy Jezierski
Source :
Topology and its Applications. (9):1113-1120
Publisher :
Elsevier B.V.

Abstract

Shub and Sullivan noticed that there is a large gap between the least number of periodic points, taken over the family of continuous maps homotopic to a given self-map f and the analogous number taken over the family of smooth maps homotopic to f . In this paper we show that in the case of self-maps of solvmanifolds the minimal numbers of n-periodic points, in both categories, are equal.

Details

Language :
English
ISSN :
01668641
Issue :
9
Database :
OpenAIRE
Journal :
Topology and its Applications
Accession number :
edsair.doi.dedup.....ee38d5b1c236718f29faacc74f9dbc31
Full Text :
https://doi.org/10.1016/j.topol.2011.03.002