Sets of periods for expanding maps on flat manifolds
type: Item
instance of: scholarly article
title: Sets of periods for expanding maps on flat manifolds
zbMATH Open document ID: 0988.37053
author: Roberto Tauraso
published in: Monatshefte für Mathematik
publication date: 1999-12-19T00:00:00Z
review text: The author determines the uniform cofiniteness of their sets of periods. This approach is based on the strong topological properties of expanding maps on flat manifolds. The point of departure for the author is the paper of \textit{B. Jiang} and \textit{J. Llibre} [Discrete Contin. Dyn. Syst. 4, 301-320 (1998; Zbl 0965.37019)], where the authors studied the sets of periods for generic continuous maps of the \(n\)-torus with a similar result in the expanding case.
Mathematics Subject Classification ID: 37E35
Mathematics Subject Classification ID: 37F15
zbMATH DE Number: 1367695
zbMATH Keywords: expanding maps
zbMATH Keywords: sets of period
zbMATH Keywords: cofiniteness
zbMATH Keywords: uniform cofiniteness
zbMATH Keywords: sets of periods
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s006050050052
OpenAlex ID: W2094267494
DOI: 10.1007/S006050050052
description: scientific article; zbMATH DE number 1367695