О $\theta$-распространении непрерывных отображений
Abstract
We consider the problem of constructing a weakly-continuous mapping extending continuous mapping defined on a dense set of a topological space to the entire space. Theorem on necessary and sufficient conditions for the existence of such an extension are proved. The axioms of separation and compactness of spaces are not assumed.
Fields of Study & Subjects
Advanced Banach Space Theory
Advanced Topology and Set Theory
Optimization and Variational Analysis
Publication details
- Journal / source
- Математические заметки
- Volume
- 119
- Issue
- 3
- Pages
- 465–468
- Publication date
- 1 January 2026
- Language
- RU