TRANSITIVITY AND ROTATION SETS WITH NONEMPTY INTERIOR FOR HOMEOMORPHISMS OF THE 2-TORUS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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| Data(s) |
04/11/2013
04/11/2013
02/08/2013
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| Resumo |
We show that if f is a homeomorphism of the 2-torus isotopic to the identity and its lift (f) over tilde is transitive, or even if it is transitive outside the lift of the elliptic islands, then (0,0) is in the interior of the rotation set of (f) over tilde. This proves a particular case of Boyland's conjecture. CNPq [304360/05-8] CNPq |
| Identificador |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 140, n. 10, supl., Part 3, pp. 3567-3579, OCT, 2012 0002-9939 |
| Idioma(s) |
eng |
| Publicador |
AMER MATHEMATICAL SOC PROVIDENCE |
| Relação |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Direitos |
openAccess Copyright AMER MATHEMATICAL SOC |
| Palavras-Chave | #TORUS HOMEOMORPHISMS #ROTATION SET #TRANSITIVITY #OMEGA LIMITS #TORUS HOMEOMORPHISMS #DIFFEOMORPHISMS #VECTORS #ANNULUS #MATHEMATICS, APPLIED #MATHEMATICS |
| Tipo |
article original article publishedVersion |
