On the Structure of Ultrafilters and Properties Related to Convergence in Topological Spaces / Pytkeev E. G.,Chentsov A. G. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 289, l. 1. - P. S164-S181.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We consider properties of broadly understood measurable spaces that provide the preservation of maximality when ultrafilters are restricted to filters of the corresponding subspace. We study conditions that guarantee the convergence of images of ultrafilters consisting of open sets under continuous mappings.

Author keywords:

filter base; measurable space; topology; ultrafilter

DOI:

10.1134/S0081543815050156

Web of Science ID:

ISI:000356931500015

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
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	pyt@imm.uran.ru chentsov@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}12-01-00537, 13-01-90414 ukr-f\_a, 13-04-00847, 13-07-00181]; 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. 12-01-00537, 13-01-90414 ukr-f\_a, 13-04-00847, and 13-07-00181), 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	26
Usage-Count-Since-2013	1
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	CL4OD