On the question of representation of ultrafilters and their application in extension constructions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 289-307
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We study ultrafilters of widely understood measurable spaces and possibilities of their application as generalized elements in the construction of attraction sets in abstract attainability problems with constraints of asymptotic nature. A class of measurable spaces is specified for which all ultrafilters including free ultrafilters (with empty intersection of all of its sets) are built constructively.
Keywords:
measurable space, attraction set, ultrafilter.
@article{TIMM_2013_19_4_a28,
author = {A. G. Chentsov},
title = {On the question of representation of ultrafilters and their application in extension constructions},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {289--307},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a28/}
}
TY - JOUR AU - A. G. Chentsov TI - On the question of representation of ultrafilters and their application in extension constructions JO - Trudy Instituta matematiki i mehaniki PY - 2013 SP - 289 EP - 307 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a28/ LA - ru ID - TIMM_2013_19_4_a28 ER -
%0 Journal Article %A A. G. Chentsov %T On the question of representation of ultrafilters and their application in extension constructions %J Trudy Instituta matematiki i mehaniki %D 2013 %P 289-307 %V 19 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a28/ %G ru %F TIMM_2013_19_4_a28
A. G. Chentsov. On the question of representation of ultrafilters and their application in extension constructions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 289-307. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a28/