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1991 | OriginalPaper | Buchkapitel

A Lower Bound for the Number of Fixed Points of Orientation Reversing Homeomorphisms

verfasst von : Krystyna Kuperberg

Erschienen in: The Geometry of Hamiltonian Systems

Verlag: Springer US

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Let h be an orientation reversing homeomorphism of the plane onto itself. Let X be a plane continuum, invariant under h. If X has at least 2k invariant bounded complementary domains, then h has at least k + 2 fixed points in X.

Metadaten
Titel
A Lower Bound for the Number of Fixed Points of Orientation Reversing Homeomorphisms
verfasst von
Krystyna Kuperberg
Copyright-Jahr
1991
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4613-9725-0_12