$C_{0}$-coarse geometry of complements of Z-sets in the Hilbert cube

DOI10.1090/S0002-9947-08-04603-5zbMath1160.54016OpenAlexW2157755092MaRDI QIDQ3533831

Jerzy Dydak, Eduardo Cuchillo-Ibanez, Akira Koyama, Manuel Alonso-Morón

Publication date: 24 October 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04603-5

zbMATH Keywords

covering dimensionANR-spaceuniformly continuous map\(C_{0}\)-coarse morphism\(C_{0}\)-coarse structurecompact Z-setHigson-Roe compactification and corona

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Dimension theory in general topology (54F45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items

Canonical covers and dimension of Z-sets in the Hilbert cube, Dugundji's canonical covers, asymptotic and covering dimension, Ends and simple coarse structures

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