Informatics and Applications
2025, Volume 19, Issue 2, pp 55-62
METRIZATION OF DISCRETE TOPOLOGICAL SPACES IN THE CONTEXT OF LATTICE THEORY. PART 2. PRACTICAL ANALYSIS OF THE CONSEQUENCES OF THE THEOREM ON REGULARITY AND NORMALITY
Abstract
In the first part, a theorem has been proved that connects the concept of normality of topological spaces and regularity according to Yu. I. Zhuravlev, in the context of the problem of metrization of feature spaces. The consequences of the theorem allow one to systematize the search for the most acceptable problem- oriented metrics. Promising directions for further research have been systematized, including the transition to a lattice of feature values and promising functionals for generating synthetic features. The results of the corresponding computational experiments are presented.
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[+] About this article
Title
METRIZATION OF DISCRETE TOPOLOGICAL SPACES IN THE CONTEXT OF LATTICE THEORY. PART 2. PRACTICAL ANALYSIS OF THE CONSEQUENCES OF THE THEOREM ON REGULARITY AND NORMALITY
Journal
Informatics and Applications
2025, Volume 19, Issue 2, pp 55-62
Cover Date
2025-07-10
DOI
10.14357/19922264250207
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
topological data analysis; algebraic approach of Yu. I. Zhuravlev and K. V. Rudakov; computational experiment; synthetic features
Authors
I. Yu. Torshin 
Author Affiliations
Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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