A simple proof of P. Carter’s theorem

DOI10.1090/S0002-9939-97-03766-0zbMath0863.54033OpenAlexW1960199151MaRDI QIDQ4336621

Lucien Guillou

Publication date: 13 May 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03766-0

zbMATH Keywords

fixed pointPoincaré-Birkhoff theoremBrouwer translation theorem

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Dynamical systems and ergodic theory (37-XX)

Related Items (6)

Some extensions of the Poincaré-Birkhoff theorem ⋮ A topological version of the Poincaré-Birkhoff theorem with two fixed points ⋮ Unnamed Item ⋮ On reversible maps and symmetric periodic points ⋮ Some remarks on the Poincaré-Birkhoff theorem ⋮ On the dynamics of homology-preserving homeomorphisms of the annulus

Cites Work

• Generalizations of the Poincaré-Birkhoff theorem
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• A dynamical proof of Brouwer's translation theorem
• An Improvement of the Poincare-Birkhoff Fixed Point Theorem

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