On the structure of ultrafilters and properties related to convergence in topological spaces
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 250-267
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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.
@article{TIMM_2014_20_2_a21,
author = {E. G. Pytkeev and A. G. Chentsov},
title = {On the structure of ultrafilters and properties related to convergence in topological spaces},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {250--267},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a21/}
}
TY - JOUR AU - E. G. Pytkeev AU - A. G. Chentsov TI - On the structure of ultrafilters and properties related to convergence in topological spaces JO - Trudy Instituta matematiki i mehaniki PY - 2014 SP - 250 EP - 267 VL - 20 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a21/ LA - ru ID - TIMM_2014_20_2_a21 ER -
%0 Journal Article %A E. G. Pytkeev %A A. G. Chentsov %T On the structure of ultrafilters and properties related to convergence in topological spaces %J Trudy Instituta matematiki i mehaniki %D 2014 %P 250-267 %V 20 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a21/ %G ru %F TIMM_2014_20_2_a21
E. G. Pytkeev; A. G. Chentsov. On the structure of ultrafilters and properties related to convergence in topological spaces. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 250-267. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a21/