On Torus Homeomorphisms of Which Rotation Sets Have No Interior Points

HAYAKAWA, Eijirou

Tokyo J. of Math., Tome 19 (1996) no. 2, p. 365-368 / Harvested from Project Euclid

Résumé

Let us assume that a 2-torus homeomorphism $f$ isotopic to the identity has a segment of irrational slope as its rotation set $\rho(F)$. We prove that if the chain recurrent set $R(f)$ of $f$ is not chain transitive, then $\rho(F)$ has a rational point realized by a periodic point.

Publié le : 1996-12-15
Classification:

@article{1270042525,
     author = {HAYAKAWA, Eijirou},
     title = {On Torus Homeomorphisms of Which Rotation Sets Have No Interior Points},
     journal = {Tokyo J. of Math.},
     volume = {19},
     number = {2},
     year = {1996},
     pages = { 365-368},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270042525}
}

HAYAKAWA, Eijirou. On Torus Homeomorphisms of Which Rotation Sets Have No Interior Points. Tokyo J. of Math., Tome 19 (1996) no. 2, pp.  365-368. http://gdmltest.u-ga.fr/item/1270042525/