Classification of exotic circles of \(PL_+(S^1)\) (Q1375411)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Classification of exotic circles of \(PL_+(S^1)\) |
scientific article; zbMATH DE number 1100534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of exotic circles of \(PL_+(S^1)\) |
scientific article; zbMATH DE number 1100534 |
Statements
Classification of exotic circles of \(PL_+(S^1)\) (English)
0 references
19 May 1998
0 references
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.
0 references
