Monotone and Open Mappings on Manifolds. I

DOI10.2307/1997393zbMath0304.57010OpenAlexW4254452166MaRDI QIDQ4060150

John J. Walsh

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997393

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) PL-topology (57Q99)

Related Items (8)

Extending Monotone Decompositions of Manifolds ⋮ Isotoping Mappings to Open Mappings ⋮ A Stable Converse to the Vietoris-Smale Theorem with Applications to Shape Theory ⋮ Essential Dimension Lowering Mappings having Dense Deficiency Set ⋮ Cell-like mappings and their generalizations ⋮ Deformation of maps to branched coverings in dimension three ⋮ Homotopic properties of confluent maps in the proper category ⋮ Light Open and Open Mappings on Manifolds. II

Cites Work

• On constructing monotone and \(UV^1\) mappings of arbitrary degree
• Open mappings on manifolds and a counterexample to the Whyburn conjecture
• Approximating cellular maps by homeomorphisms
• Über offene Abbildungen
• Monontone transformations of two-dimensional manifolds
• Homeomorphic approximations to monotone mappings
• On the problems of topology
• Approximations to monotone mappings on non-compact two dimensional manifolds
• OPEN MAPPINGS OF COMPACT CONTINUA
• A Vietoris Mapping Theorem for Homotopy
• Concerning Cellular Decompositions of 3-Manifolds that Yield 3-Manifolds
• Gordon T. Whyburn 1904-1969
• Open Mappings of the Universal Curve onto Continuous Curves
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