Extraordinary dimension of maps

DOI10.1016/J.TOPOL.2004.04.012zbMath1094.54019arXivmath/0308236OpenAlexW2009158497MaRDI QIDQ2488857

Vesko M. Valov, A. Ch. Chigogidze

Publication date: 16 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0308236

zbMATH Keywords

C-spaceExtensional dimensionAbsolute extensorExtension theoryPerfect map

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (1)

Dimension of maps, universal spaces, and homotopy

Cites Work

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• Extraordinary dimension theories generated by complexes.
• On finite-dimensional maps
• Some mapping theorems for extensional dimension
• Continuous selections and $C$-spaces
• Finite-to-one restrictions of continuous functions
• Arithmetic of dimension theory
• THE EXTENSION DIMENSION AND $C$ -SPACES
• On dimensionally restricted maps
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX

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