Lefschetz index for orientation reversing planar homeomorphisms

DOI10.1090/S0002-9939-02-06468-7zbMath0986.55003MaRDI QIDQ2782651

Marc Bonino

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed point indexplanar homeomorphism

Mathematics Subject Classification ID

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

Related Items (8)

Planar isolated and stable fixed points have index =1 ⋮ Isolating blocks of isolated invariant continua and fixed point index ⋮ Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ About the homological discrete Conley index of isolated invariant acyclic continua ⋮ Fixed point theorem for non-self maps of regions in the plane ⋮ Nielsen classes of orientation reversing homeomorphisms and complementary domains of plane separating invariant continua ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms

Cites Work

• An index theorem for the homeomorphisms of the plane near a fixed point
• On the Fixed Point Index of Iterates of Planar Homeomorphisms

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