Most homeomorphisms of the circle are semiperiodic

DOI10.1007/BF01197224zbMath0880.54030OpenAlexW2019890069MaRDI QIDQ1893248

Tudor I. Zamfirescu, R. Paul Horja, Gheorghe Craciun, Mihai Prunescu

Publication date: 3 July 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197224

zbMATH Keywords

periodic pointsporous sethomeomorphisms

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (3)

The structure of random homeomorphisms ⋮ Most homeomorphisms with a fixed point have a Cantor set of fixed points ⋮ The determination of a convex set from its angle function

Cites Work

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• Some generic properties of \(\alpha\)-nonexpansive mappings
• Porosity in convexity
• Some generic properties in fixed point theory
• A generic view on the theorems of Brouwer and Schauder
• Generic properties of the homeomorphisms of \(S^ d\)
• Generic Properties for Some Classes of Operator Equations
• Existence, uniqueness and approximation of fixed points as a generic property
• Almost all 1-Set Contractions have a Fixed Point
• The Dirichlet Problem for a Hyperbolic Equation

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