Collectionwise normality and absolute retracts

DOI10.4064/fm-98-1-61-73zbMath0391.54007OpenAlexW883595310MaRDI QIDQ4172613

Teodor C. Przymusinski

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/215093

zbMATH Keywords

homotopy extension theoremabsolute neighborhood retractcollectionwise normalityabsolute neighborhood extensorparacompact p-spacescech-complete

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

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Paraconvexity and continuous selections ⋮ Characterization of a topological obstruction to reach control by continuous state feedback ⋮ Usco sections and Choquet-completeness ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Consonance and Cantor set-selectors ⋮ Insertion of continuous set-valued mappings ⋮ Factorising usco mappings ⋮ Extension theory: The interface between set-theoretic and algebraic topology ⋮ Universal metric spaces and extension dimension ⋮ Selections, extensions and collectionwise normality ⋮ A note on a set-valued extension property ⋮ Is the free locally convex space \(L(X)\) nuclear?

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