Functional approach to the normality of mappings
General Topology
2024-06-13 v1 Functional Analysis
Abstract
In the article a technique of the usage of -continuous functions (on mappings) and their families is developed. A proof of the Urysohn's Lemma for mappings is presented and a variant of the Brouwer-Tietze-Urysohn Extension Theorem for mappings is proven. Characterizations of the normality properties of mappings are given and the notion of a perfect normality of a mapping is introduced. It seems to be the most optimal in this approach.
Cite
@article{arxiv.2406.08061,
title = {Functional approach to the normality of mappings},
author = {Mikhail Yourievich Liseev},
journal= {arXiv preprint arXiv:2406.08061},
year = {2024}
}
Comments
14 pages, bibliography: 6 names