Nielsen classes of orientation reversing homeomorphisms and complementary domains of plane separating invariant continua

DOI10.1016/J.TOPOL.2011.11.035zbMath1268.37065OpenAlexW2090372522MaRDI QIDQ409510

Jan P. Boroński

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.035

zbMATH Keywords

fixed pointinvariant continuumplanar homeomorphism

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fixed points and coincidences in algebraic topology (55M20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

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• Lefschetz index for orientation reversing planar homeomorphisms
• Fixed points and periodic points of orientation-reversing planar homeomorphisms
• Fixed Points of Orientation Reversing Homeomorphisms of the Plane
• A Counterexample to the Bounded Orbit Conjecture
• An example of a fixed point free homeomorphism of the plane with bounded orbits
• An Orientation Reversing Homeomorphism of the Plane with Invariant Pseudo- Arc
• Shorter Notes: A Short Short Proof of the Cartwright-Littlewood Theorem
• A fixed point theorem for plane homeomorphisms
• An algorithm for calculating the Nielsen number on surfaces with boundary
• A Pathological Area Preserving C ∞ Diffeomorphism of the Plane
• A Brouwer-like theorem for orientation reversing homeomorphisms of the sphere
• Nielsen theory and linked periodic orbits of homeomorphisms of $\mathbb{S}^2$
• A Short Proof of the Cartwright-Littlewood Fixed Point Theorem
• Some fixed point theorems

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