Some normality-type properties, topological products, and classes of continuous mappings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 2, pp. 205-238
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Some properties generalizing the normality separation axiom and their behavior under basic topological operations and continuous mappings are discussed. One of the general problems considered in the paper concerns the deduction of “nice” topological properties of spaces from generalized normality of certain topological products, their subspaces, and other related structures; in particular, extensions of the well-known theorems of Katětov and Tamano are suggested.
@article{FPM_2003_9_2_a3,
author = {A. N. Yakivchik},
title = {Some normality-type properties, topological products, and classes of continuous mappings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {205--238},
publisher = {mathdoc},
volume = {9},
number = {2},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_2_a3/}
}
TY - JOUR AU - A. N. Yakivchik TI - Some normality-type properties, topological products, and classes of continuous mappings JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2003 SP - 205 EP - 238 VL - 9 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2003_9_2_a3/ LA - ru ID - FPM_2003_9_2_a3 ER -
A. N. Yakivchik. Some normality-type properties, topological products, and classes of continuous mappings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 2, pp. 205-238. http://geodesic.mathdoc.fr/item/FPM_2003_9_2_a3/