Criterion of Normality of the Completely Regular Topology of Separate Continuity

Grinshpon, Yakov S.. "Criterion of Normality of the Completely Regular Topology of Separate Continuity." Serdica Mathematical Journal 32.1 (2006): 57-62. <http://eudml.org/doc/281474>.

@article{Grinshpon2006,
abstract = {2000 Mathematics Subject Classification: 54C10, 54D15, 54G12.For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least one factor is scattered.},
author = {Grinshpon, Yakov S.},
journal = {Serdica Mathematical Journal},
keywords = {Separate Continuity; Normality; Collectionwise Normality; Scattered Spaces; Cech-Complete Spaces; Zero-Dimensional Spaces; Paracompactness; Locally Compact Spaces; Separate continuity; normality; collectionwise normality; scattered spaces; Čech-complete spaces; zero-dimensional spaces; paracompactness; locally compact spaces.},
language = {eng},
number = {1},
pages = {57-62},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Criterion of Normality of the Completely Regular Topology of Separate Continuity},
url = {http://eudml.org/doc/281474},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Grinshpon, Yakov S.
TI - Criterion of Normality of the Completely Regular Topology of Separate Continuity
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 1
SP - 57
EP - 62
AB - 2000 Mathematics Subject Classification: 54C10, 54D15, 54G12.For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least one factor is scattered.
LA - eng
KW - Separate Continuity; Normality; Collectionwise Normality; Scattered Spaces; Cech-Complete Spaces; Zero-Dimensional Spaces; Paracompactness; Locally Compact Spaces; Separate continuity; normality; collectionwise normality; scattered spaces; Čech-complete spaces; zero-dimensional spaces; paracompactness; locally compact spaces.
UR - http://eudml.org/doc/281474
ER -