Balleans, hyperballeans and ideals

zbMath1429.54035arXiv1902.01469MaRDI QIDQ5234865

Nicolò Zava, Dikran Dikranjan, Ksenia D. Protasova, Igor Vladimirov Protasov

Publication date: 4 October 2019

Full work available at URL: https://arxiv.org/abs/1902.01469

zbMATH Keywords

coarse structureballeansasymorphismcoarse maphyperballeansballeans defined by ideals

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15)

Related Items (10)

On asymorphisms of finitary coarse spaces ⋮ Coarse selectors of groups ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ Closeness and linkness in balleans ⋮ Constructing balleans ⋮ Selectors and orderings of coarse spaces ⋮ The normality of macrocubes and hyperballeans ⋮ Hyperballeans of groups ⋮ Generalisations of coarse spaces ⋮ Extremal balleans

Cites Work

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• Balleans and filters
• Some categorical aspects of coarse spaces and balleans
• Characterizing the Cantor bi-cube in asymptotic categories
• Set theory. An introduction to independence proofs
• On hyperballeans of bounded geometry
• Cowellpoweredness and closure operators in categories of coarse spaces
• Preservation and reflection of size properties of balleans
• Closures of discrete sets in compact spaces
• Classifying homogeneous cellular ordinal balleans up to coarse equivalence

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