To question about representation of Stone compactums
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 156-174
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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.
@article{VUU_2013_4_a14,
author = {A. G. Chentsov},
title = {To question about representation of {Stone} compactums},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {156--174},
publisher = {mathdoc},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2013_4_a14/}
}
TY - JOUR AU - A. G. Chentsov TI - To question about representation of Stone compactums JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2013 SP - 156 EP - 174 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VUU_2013_4_a14/ LA - ru ID - VUU_2013_4_a14 ER -
A. G. Chentsov. To question about representation of Stone compactums. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 156-174. http://geodesic.mathdoc.fr/item/VUU_2013_4_a14/