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Subgroups of $\operatorname{Diff}^{\infty}_+ (\mathbb S^1)$ acting transitively on $4$-tuples.
- Source :
-
Transactions of the American Mathematical Society . Nov2004, Vol. 356 Issue 11, p4543-4557. 15p. - Publication Year :
- 2004
-
Abstract
- We consider subgroups of $C^{\infty}$-diffeomorphisms of the circle $\mathbb S^1$ which act transitively on $4$-tuples of points. We show, in particular, that these subgroups are dense in the group of homeomorphisms of $\mathbb S^1$. A stronger result concerning $C^{\infty}$-approximations is obtained as well. The techniques employed in this paper rely on Lie algebra ideas and they also provide partial generalizations to the differentiable case of some results previously established in the analytic category. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICS
*DIFFEOMORPHISMS
*DIFFERENTIAL topology
*TOPOLOGICAL spaces
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 356
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 14594782
- Full Text :
- https://doi.org/10.1090/S0002-9947-04-03466-X