Extension dimensional approximation theorem

DOI10.1016/S0166-8641(01)00277-2zbMath1020.54013arXivmath/0103061OpenAlexW2096834403MaRDI QIDQ1862098

N. B. Brodskij, A. Ch. Chigogidze

Publication date: 10 March 2003

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

Full work available at URL: https://arxiv.org/abs/math/0103061

zbMATH Keywords

approximationextension dimensionCW-complexproperty C

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) 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 (2)

Extension dimension and quasi-finite CW-complexes ⋮ Extraordinary dimension theories generated by complexes.

Cites Work

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• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• Graph-approximation of set-valued maps on noncompact domains
• Cell-like mappings and their generalizations
• The Role of Countable Dimensionality in the Theory of Cell-Like Relations
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX
• Universal metric spaces and extension dimension

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