Continuous selections and countable sets

DOI10.4064/FM-111-1-1-10zbMath0455.54012OpenAlexW1034293148MaRDI QIDQ3903692

Ernest Michael

Publication date: 1981

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211231

zbMATH Keywords

continuous selectionslower semi-continuous mapcountable subsetselection extension property

Mathematics Subject Classification ID

Selections in general topology (54C65)

Related Items (14)

A Note on a Selection Theorem ⋮ \({\mathcal A}\)-fixed points of multi-valued contractions ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ On countably selective spaces ⋮ Inductively Perfect Maps and Tri-Quotient Maps ⋮ On closedness assumptions in selection theorems ⋮ Reprint of: ``On countably selective spaces ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Applications of Michael's selection theorems to fixed point theory ⋮ Almost complete spaces, hypercomplete spaces and related mapping theorems ⋮ Continuous selections and \(\sigma \)-spaces ⋮ Cantor set selectors ⋮ Countable sets, BCO spaces and selections ⋮ On s-reflexive spaces and continuous selections

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