On $θ$-extension of continuous mapping
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914363603943424 |
|---|---|
| author | Ryabikov, Andrew |
| author_facet | Ryabikov, Andrew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $θ$-extension of continuous mapping Ryabikov, Andrew General Topology 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. |
| title | On $θ$-extension of continuous mapping |
| topic | General Topology |
| url | https://arxiv.org/abs/2506.02228 |