Universal metric spaces and extension dimension

DOI10.1016/S0166-8641(00)00019-5zbMath0986.55001arXivmath/9908081MaRDI QIDQ5936522

Vesko M. Valov, A. Ch. Chigogidze

Publication date: 3 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/9908081

zbMATH Keywords

cohomological dimension\(K\)-soft mapstrongly universal spaceuniversal space

Mathematics Subject Classification ID

Spectra in general topology (54B35) Extension of maps (54C20) Dimension theory in algebraic topology (55M10)

Related Items (3)

Extension dimension and quasi-finite CW-complexes ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Extension dimensional approximation theorem

Cites Work

• Extension theory: The interface between set-theoretic and algebraic topology
• \(n\)-soft mappings of \(n\)-dimensional spaces
• Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\)
• Limit theorem for inverse sequences of metric spaces in extension theory
• Universal separable metrizable spaces of given cohomological dimension
• Cohomological dimension of Tychonov spaces
• Universal Maps and Surjective Characterizations of Completely Metrizable LC n -Spaces
• Collectionwise normality and absolute retracts
• Cohomological Dimension and Metrizable Spaces
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX
• Cohomological dimension and metrizable spaces. II
• On the dimension of non-separable spaces. I
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