Fixed Points of Orientation Reversing Homeomorphisms of the Plane

DOI10.2307/2048501zbMath0722.55001OpenAlexW4236551251MaRDI QIDQ3209852

Krystyna Trybulec Kuperberg

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048501

zbMATH Keywords

fixed pointcontinuumorientation reversing homeomorphism

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (14)

Planar isolated and stable fixed points have index =1 ⋮ Attraction in nonmonotone planar systems and real-life models ⋮ Isolating blocks of isolated invariant continua and fixed point index ⋮ On Cartwright-Littlewood fixed point theorem ⋮ A dynamical characterization of planar symmetries ⋮ Nielsen classes of orientation reversing homeomorphisms and complementary domains of plane separating invariant continua ⋮ On a generalization of the Cartwright–Littlewood fixed point theorem for planar homeomorphisms ⋮ A fixed point theorem for the pseudo-circle ⋮ A Sternbach-type fixed point problem for maps induced on hyperspaces ⋮ A fixed point theorem for plane separating continua ⋮ Fixed points for branched covering maps of the plane ⋮ A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms ⋮ Fixed points and periodic points of orientation-reversing planar homeomorphisms ⋮ Dynamics of annulus maps II: Periodic points for coverings

Cites Work

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• A fixed point theorem for plane homeomorphisms
• Shorter Notes: A Short Short Proof of the Cartwright-Littlewood Theorem
• A fixed point theorem for plane homeomorphisms
• A Short Proof of the Cartwright-Littlewood Fixed Point Theorem
• Some fixed point theorems

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