Cantor limit set of a topological transformation group on \(S^{1}\)
type: Item
instance of: scholarly article
title: Cantor limit set of a topological transformation group on \(S^{1}\)
zbMATH Open document ID: 1235.22006
DOI: 10.1155/2011/342759
author: Zuming Chen
author: Keying Guan
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-03-08T00:00:00Z
review text: Let \(\Gamma \) be a transformation group on the circle \(S^1\) with two generators which are both homeomorphic transformations onto \(S^1\). A characterization for the limit set of \(\Gamma \) to be totally disconnected and perfect is described in this paper in terms of five technical conditions. A very interesting application is presented for a doubly periodic Riccati equation in the complex domain.
reviewed by: Mircea Crasmareanu
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 6013252
zbMATH Keywords: Cantor limit set
zbMATH Keywords: topological transformation group
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/342759
OpenAlex ID: W2063269053
Wikidata QID: Q58687756
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DBLP publication ID: journals/ijmmsc/GuanC11
description: scientific article; zbMATH DE number 6013252