Non-symmetric convergence and regularity
[EN] We study regularity in quasi-convergence spaces and biconvergence spaces. We show that a notion weaker than the usually considered pairwise regularity is sufficient in important applications. This regularity can be defined in terms of closures of pair filters or by a diagonal condition. We show...
| Autor: | |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/221862 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/221862 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Quasi-convergence space regularity extension of mappings continuous convergence biconvergence convergence space |
| Resumo: | [EN] We study regularity in quasi-convergence spaces and biconvergence spaces. We show that a notion weaker than the usually considered pairwise regularity is sufficient in important applications. This regularity can be defined in terms of closures of pair filters or by a diagonal condition. We show its appropriateness by characterizing it in terms of continuous convergence and in terms of extensions of continuous mappings. |
|---|