BOUNDARIES OF ROTATION SETS FOR HOMEOMORPHISMS OF THE N-TORUS

Authors
SWANSON R WALKER R
Citation
R. Swanson et R. Walker, BOUNDARIES OF ROTATION SETS FOR HOMEOMORPHISMS OF THE N-TORUS, Proceedings of the American Mathematical Society, 124(10), 1996, pp. 3247-3255
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
10
Year of publication
1996
Pages
3247 - 3255
Database
ISI
SICI code
0002-9939(1996)124:10<3247:BORSFH>2.0.ZU;2-K
Abstract
We construct a C-omega diffeomorphism of the 3-torus whose rotation se t is not closed. We prove that the rotation set of a homeomorphism of the n-torus contains the extreme points of its closed convex hull. Fin ally, we show that each pseudo-rotation set is closed for torus homeom orphisms.