Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 208, Pages 79–90
DOI: https://doi.org/10.36535/0233-6723-2022-208-79-90 (Mi into996) 		 
Linkedness of families of sets, supercompactness, and some generalizations

A. G. Chentsovab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.36535/0233-6723-2022-208-79-90
Abstract: We examine a construction that has the meaning of an abstract analog of a superextension of a topological space and new types of supercompact topological spaces. In addition, we study relations between ultrafilters and maximal linked systems on measurable spaces.
Keywords: linkedness, supercompactness, topology, ultrafilter.
Document Type: Article
UDC: 515.12
MSC: 54A09, 54A10, 54B05
Language: Russian
Citation: A. G. Chentsov, “Linkedness of families of sets, supercompactness, and some generalizations”, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 208, VINITI, Moscow, 2022, 79–90
Citation in format AMSBIB
\Bibitem{Che22}
\by A.~G.~Chentsov
\paper Linkedness of families of sets, supercompactness, and some generalizations
\inbook Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 208
\pages 79--90
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into996}
\crossref{https://doi.org/10.36535/0233-6723-2022-208-79-90}
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