Continuous selections and $C$-spaces

DOI10.1090/S0002-9939-01-05995-0zbMath0977.54017MaRDI QIDQ2750910

Vesko M. Valov, Valentin G. Gutev

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(C\)-space\(Z_\infty\)-set

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Dimension theory in algebraic topology (55M10)

Related Items (12)

On \(Q\)-manifolds bundles ⋮ \(C\)-spaces and matrix of infinite-dimensionality ⋮ Near-selection theorems for C-spaces ⋮ On closedness assumptions in selection theorems ⋮ On finite-dimensional maps II ⋮ Open problems in topology. ⋮ Michael's problem and weakly infinite-dimensional spaces ⋮ Some classes of weakly infinite-dimensional spaces ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Extraordinary dimension of maps ⋮ On regularly branched maps ⋮ On a problem of E. Michael

Cites Work

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• Continuous selections. I
• Continuous selections. II
• Continuous selections avoiding a set
• A selection theorem for \(C\)-spaces
• Une généralisation des espaces compacts
• A Weakly Infinite-Dimensional Compactum which is not Countable-Dimensional
• A class of infinite-dimensional spaces. Part I: Dimension theory and Alexandrof's problem
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• On Countably Paracompact Spaces

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