Extension theorems for large scale spaces via coarse neighbourhoods

DOI10.1007/s00009-018-1106-zzbMath1394.51006arXiv1609.01647OpenAlexW2963737002WikidataQ130094457 ScholiaQ130094457MaRDI QIDQ1635758

Jerzy Dydak, Thomas Weighill

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.01647

zbMATH Keywords

Higson compactificationneighbourhood operatorhybrid large scale normalitylarge scale spaceslowly oscillating map

Mathematics Subject Classification ID

Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Uniform structures and generalizations (54E15)

Related Items (5)

Boundaries of coarse proximity spaces and boundaries of compactifications ⋮ Convolution coarse structures ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ Asymptotic filtered colimits ⋮ Normality conditions of structures in coarse geometry and an alternative description of coarse proximities

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• On asymptotic dimension of countable Abelian groups.
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• On Real-Valued Functions in Topological Spaces

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