Higson compactification and dimension raising

DOI10.1016/j.topol.2016.10.005zbMath1420.54048arXiv1608.03954OpenAlexW2518048027MaRDI QIDQ347260

Žiga Virk, Kyle Austin

Publication date: 30 November 2016

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

Full work available at URL: https://arxiv.org/abs/1608.03954

zbMATH Keywords

Higson compactificationasymptotic dimension\(n\)-to-1 mapsHurewicz theorems

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10)

Related Items (3)

Extension theorems for large scale spaces via coarse neighbourhoods ⋮ Monotone-light factorizations in coarse geometry ⋮ The space of persistence diagrams on $n$ points coarsely embeds into Hilbert space

Cites Work

• Coarse metric approximation
• Preserving coarse properties
• Large scale absolute extensors
• Inducing maps between Gromov boundaries
• An alternative definition of coarse structures
• The Novikov conjecture for groups with finite asymptotic dimension
• On the Higson corona of uniformly contractible spaces
• Monotone-light factorizations in coarse geometry
• Asymptotic topology
• Dimension-raising maps in a large scale
• The asymptotic dimension of quotients by finite groups
• Metric Compactifications and Coarse Structures
• A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
• A Hurewicz theorem for the Assouad-Nagata dimension
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