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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
- 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