On the Question of Representation of Ultrafilters and Their Application in Extension Constructions / Chentsov A. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2014. - V. 287, l. 1. - P. S29-S48.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We study ultrafilters of broadly understood measurable spaces and possibilities of their application as generalized elements in the construction of attraction sets in abstract reachability 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 their sets) are built constructively.

Author keywords:

measurable space; attraction set; ultrafilter

DOI:

10.1134/S0081543814090041

Web of Science ID:

ISI:000345589100004

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	chentsov@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}13-01-90414 ukr-f\_a, 12-01-00537\_a, 13-04-00847\_a]; Programs for Fundamental Research of the Presidium of the Russian Academy of Sciences {[}12-P-1-1012, 12-P-1-1019]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project nos. 13-01-90414 ukr-f\_a, 12-01-00537\_a, and 13-04-00847\_a), by Programs for Fundamental Research of the Presidium of the Russian Academy of Sciences (project nos. 12-P-1-1012 and 12-P-1-1019), and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
Number-of-Cited-References	24
Usage-Count-Since-2013	1
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	AU4NT