Light maps and extensional dimension

DOI10.1016/S0166-8641(96)00164-2zbMath0889.54024MaRDI QIDQ1371928

Alexander N. Dranishnikov, Vladimir V. Uspenskij

Publication date: 6 November 1997

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

zbMATH Keywords

extensional dimensionlight mapdimension raising map

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45) Extension of maps (54C20) Dimension theory in algebraic topology (55M10) Absolute neighborhood retracts (55M15) Shape theory in general topology (54C56)

Related Items (14)

Hurewicz theorem for extension dimension ⋮ Approximation of \(k\)-dimensional maps ⋮ Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\) ⋮ Open problems in topology. ⋮ Extraordinary dimension theories generated by complexes. ⋮ Resolving rational cohomological dimension via a Cantor group action ⋮ Dimension-raising theorems for cohomological and extension dimensions ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Open problems in topology, seventh status report ⋮ Parametric Bing and Krasinkiewicz maps: revisited ⋮ Transversal intersection formula for compacta ⋮ A selection theorem for \(C\)-spaces ⋮ Resolving compacta by free $p$-adic actions ⋮ Some mapping theorems for extensional dimension

Cites Work

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• The Role of Countable Dimensionality in the Theory of Cell-Like Relations
• THE EILENBERG-BORSUK THEOREM FOR MAPPINGS INTO AN ARBITRARY COMPLEX

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