Abstract
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.
Citation
Eijirou HAYAKAWA. "On Torus Homeomorphisms of Which Rotation Sets Have No Interior Points." Tokyo J. Math. 19 (2) 365 - 368, December 1996. https://doi.org/10.3836/tjm/1270042525
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