On the preservation of separation axioms in products

Grulović, Milan Z., and Kurilić, Miloš S.. "On the preservation of separation axioms in products." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 713-721. <http://eudml.org/doc/247370>.

@article{Grulović1992,
abstract = {We give sufficient and necessary conditions to be fulfilled by a filter $\Psi $ and an ideal $\Lambda $ in order that the $\Psi $-quotient space of the $\Lambda $-ideal product space preserves $T_k$-properties ($k=0,1,2,3,3\frac\{1\}\{2\}$) (“in the sense of the Łos theorem”). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.},
author = {Grulović, Milan Z., Kurilić, Miloš S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {separation axioms; box product; ultraproduct; ideal product topology; separation axiom; box product; ultraproduct; Tikhonov product},
language = {eng},
number = {4},
pages = {713-721},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the preservation of separation axioms in products},
url = {http://eudml.org/doc/247370},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Grulović, Milan Z.
AU - Kurilić, Miloš S.
TI - On the preservation of separation axioms in products
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 713
EP - 721
AB - We give sufficient and necessary conditions to be fulfilled by a filter $\Psi $ and an ideal $\Lambda $ in order that the $\Psi $-quotient space of the $\Lambda $-ideal product space preserves $T_k$-properties ($k=0,1,2,3,3\frac{1}{2}$) (“in the sense of the Łos theorem”). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.
LA - eng
KW - separation axioms; box product; ultraproduct; ideal product topology; separation axiom; box product; ultraproduct; Tikhonov product
UR - http://eudml.org/doc/247370
ER -