Geodesic
Linkedness of families of sets, supercompactness, and some generalizations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 208 (2022), pp. 79-90.

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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. 
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A. G. Chentsov. Linkedness of families of sets, supercompactness, and some generalizations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 208 (2022), pp. 79-90. http://geodesic.mathdoc.fr/item/INTO_2022_208_a8/

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