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Russia Yekaterinburg
Year
2013
Issue
4
Pages
156-174
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Section Mathematics
Title To question about representation of Stone compactums
Author(-s) Chentsov A.G.a
Affiliations Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciencesa
Abstract We consider the questions connected with the representation of ultrafilters of measurable spaces and finitely additive (0,1)-measures for consequent application in extension constructions of abstract attainability problems and extremal problems. Properties connected with the application of (generalized) Cartesian products and their subspaces, and the property having the sense of the identification of ultrafilters and finitely additive (0,1)-measures and realized in the form of homeomorphism of natural topologies are investigated.
Keywords extension, finitely additive measure, ultrafilter
UDC 519.6
MSC 28A33
DOI 10.20537/vm130415
Received 15 May 2013
Language Russian
Citation Chentsov A.G. To question about representation of Stone compactums, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 4, pp. 156-174.
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