Classification of exotic circles of \(PL_+(S^1)\)
type: Item
instance of: scholarly article
title: Classification of exotic circles of \(PL_+(S^1)\)
zbMATH Open document ID: 0896.57024
author: Hiroyuki Minakawa
published in: Hokkaido Mathematical Journal
publication date: 1998-05-19T00:00:00Z
review text: Let \(G\) be a subgroup of the group \(\text{PL}_+(S^1)\) of orientation-preserving piecewise-linear homeomorphisms of the circle \(S^1\). An exotic circle of \(G\) is a subgroup which is topologically conjugate to SO(2) but not conjugate in \(G\) to SO(2). An explicit construction of exotic circles is given and these circles are classified up to PL conjugacy.
Mathematics Subject Classification ID: 57S05
Mathematics Subject Classification ID: 58E40
Mathematics Subject Classification ID: 37E99
zbMATH DE Number: 1100534
reviewed by: David B. Gauld
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1351258271
OpenAlex ID: W2032069340
DOI: 10.14492/HOKMJ/1351258271
description: scientific article; zbMATH DE number 1100534