Abstract
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 2 k invariant bounded complementary domains, then h has at least k + 2 fixed points in X.
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© 1991 Springer-Verlag New York, Inc.
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Kuperberg, K. (1991). A Lower Bound for the Number of Fixed Points of Orientation Reversing Homeomorphisms. In: Ratiu, T. (eds) The Geometry of Hamiltonian Systems. Mathematical Sciences Research Institute Publications, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9725-0_12
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DOI: https://doi.org/10.1007/978-1-4613-9725-0_12
Publisher Name: Springer, New York, NY
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