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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 1, Pages 285–304 (Mi timm1051)
This article is cited in 3 papers

Ultrafilters of measurable spaces and their application in extension constructions

A. G. Chentsovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin

Abstract: We consider representations of Stone compact sets and of their analogs in connection with the use of ultrafilters as generalized elements in abstract attainability problems with constraints of asymptotic nature.

Keywords: compact set, topological space, ultrafilter.

UDC: 519.6

Received: 10.07.2013



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