Some categorical aspects of coarse spaces and balleans

DOI10.1016/j.topol.2017.04.011zbMath1377.54027OpenAlexW2608516319MaRDI QIDQ529101

Nicolò Zava, Dikran Dikranjan

Publication date: 18 May 2017

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

Full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/7721

zbMATH Keywords

coarse spaceepimorphismmonomorphismballeancoarse categoryquotient ballean

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) Adjunction spaces and similar constructions in general topology (54B17)

Related Items (19)

On hyperballeans of bounded geometry ⋮ Cowellpoweredness of some categories of quasi-uniform spaces ⋮ Balleans, hyperballeans and ideals ⋮ Preservation and reflection of size properties of balleans ⋮ Coarse metric and uniform metric ⋮ Epimorphisms and closure operators of categories of semilattices ⋮ Counting coarse subsets of a countable group ⋮ Lifting coarse homotopies ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ On a notion of entropy in coarse geometry ⋮ On asymorphisms of groups ⋮ Some categorical aspects of coarse spaces and balleans ⋮ Coarse quotients by group actions and the maximal Roe algebra ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ On a question of Dikranjan and Zava ⋮ Hyperballeans of groups ⋮ Generalisations of coarse spaces ⋮ Locally Roelcke precompact Polish groups ⋮ Cowellpoweredness and closure operators in categories of coarse spaces

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
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• Selective survey on subset combinatorics of groups.
• Balleans and filters
• Coarse structures on groups
• Coarse quotient mappings between metric spaces
• Some categorical aspects of coarse spaces and balleans
• Topological categories
• An alternative definition of coarse structures
• Sketch of group balleans.
• Balleans and \(G\)-spaces
• Asymptotic dimension and small subsets in locally compact topological groups
• Preservation and reflection of size properties of balleans
• On asymptotic dimension of countable Abelian groups.
• Quotients of uniform spaces
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Asymptotic dimension of discrete groups
• Asymptotic proximities
• The coarse classification of countable abelian groups
• Quotient Uniformities

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