Balleans and \(G\)-spaces

DOI10.1007/s11253-012-0653-xzbMath1283.54007OpenAlexW2056734709MaRDI QIDQ1928470

O. V. Petrenko, Igor Vladimirov Protasov

Publication date: 3 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0653-x

zbMATH Keywords

supportultrafilters\(P\)-point\(Q\)-point\(T\)-pointballean

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (15)

On the asymptotic dimension of products of coarse spaces ⋮ Orbitally discrete coarse spaces ⋮ Ultrafilters on balleans ⋮ Constructing a coarse space with a given Higson or binary corona ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ Decompositions of set-valued mappings ⋮ Algebraic entropy of endomorphisms of \(M\)-sets ⋮ Some categorical aspects of coarse spaces and balleans ⋮ Varieties of coarse spaces ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ Free coarse groups ⋮ Hyperballeans of groups ⋮ Extremal balleans ⋮ Small uncountable cardinals in large-scale topology ⋮ Coarse spaces, ultrafilters and dynamical systems

Cites Work

• Thin ultrafilters
• Balleans of bounded geometry and G-spaces
• Balleans of topological groups
• Embedding Theorems for Groups
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