Mapping Cylinder Neighborhoods in the Plane

DOI10.2307/2043577zbMath0478.54030OpenAlexW4236669477MaRDI QIDQ3935851

Morton B. Brown, Beverly L. Brechner

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043577

zbMATH Keywords

prime endsplane homeomorphismmapping cylinder neighborhoodcompact subsets of the planeneighborhood closures

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65)

Related Items (2)

Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries ⋮ Topological collapsing and cylindrical neighborhoods in 3-manifolds

Cites Work

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• Positively regular homeomorphisms of Euclidean spaces
• On stable homeomorphisms and imbeddings of the pseudo arc
• Wild cells and spheres in higher dimensions
• Mapping cylinder neighborhoods
• The Monotone Union of Open n-Cells is an Open n-Cell
• Stellar Neighborhoods in Polyhedral Manifolds
• Remarks on the theory of prime ends

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