Superextension as bitopological space

DOI10.20537/2226-3594-2017-49-03zbMath1396.54026OpenAlexW2741764259MaRDI QIDQ4641629

A. G. Chentsov

Publication date: 18 May 2018

Published in: Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/2226-3594-2017-49-03

zbMATH Keywords

ultrafiltersupercompactnesssuperextensionlinked systemStone type topologyWallman type topology

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Dynamical systems in control (37N35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Bitopologies (54E55) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (10)

SOME REPRESENTATIONS CONNECTED WITH ULTRAFILTERS AND MAXIMAL LINKED SYSTEMS ⋮ To a Question on the Supercompactness of Ultrafilter Spaces ⋮ Ultrafilters and maximal linked systems: basic properties and topological constructions ⋮ Ultrafilters and maximal linked systems: basic relations ⋮ On the supercompactness of ultrafilter space with the topology of Wallman type ⋮ On certain analogues of linkedness and supercompactness ⋮ Ultrafilters and maximal linked systems ⋮ To the question on some generalizations of properties of the linkedness of families of sets and the supercompactness of topological spaces ⋮ Bitopological spaces of ultrafilters and maximal linked systems ⋮ Maximal linked systems on products of widely understood measurable spaces

Cites Work

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• To the validity of constraints in the class of generalized elements
• On the density and Suslin number of subsets of one Stone space
• To question about realization of attraction elements in abstract attainability problems

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