E. G. Pytkeev, A. G. Chentsov, “On the structure of ultrafilters and properties related to convergence in topological spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 2014, Volume 20, Number 2,Pages <nobr>250

This article is cited in 4 papers

On the structure of ultrafilters and properties related to convergence in topological spaces

E. G. Pytkeev^ab, A. G. Chentsov^ba

^a B. N. Yeltsin Ural Federal University
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

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.

Keywords: filter base, measurable space, topology, ultrafilter.

UDC: 519.6

Received: 10.12.2013