A parametrization theorem

DOI10.1016/0166-8641(85)90061-6zbMath0591.54009OpenAlexW2119393969MaRDI QIDQ1074897

B. George

Publication date: 1985

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90061-6

zbMATH Keywords

selectionsCantor setcontinuousperfect mapsopen mapszero-dimensional spaceshomeomorhismsopen perfect surjection

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Selections in general topology (54C65)

Related Items

On Borel mappings and \(\sigma\)-ideals generated by closed sets ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Open mappings looking like projections

Cites Work

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• Continuously choosing a retraction of a separable metric space onto each of its arcs
• Representation of set-valued mappings
• Selected Selection Theorems
• Completely regular mappings
• Dense families of continuous selections
• Shorter Notes: A Theorem on Perfect Maps