Realizing rotation vectors for torus homeomorphisms

Author:
John Franks

Journal:
Trans. Amer. Math. Soc. **311** (1989), 107-115

MSC:
Primary 58F22

DOI:
https://doi.org/10.1090/S0002-9947-1989-0958891-1

MathSciNet review:
958891

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Abstract: We consider the rotation set for a lift of a homeomorphism , which is homotopic to the identity. Our main result is that if a vector lies in the interior of and has both coordinates rational, then there is a periodic point with the property that

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DOI:
https://doi.org/10.1090/S0002-9947-1989-0958891-1

Article copyright:
© Copyright 1989
American Mathematical Society