Pseudo perfectly continuous functions and closedness/compactness of their function spaces
[EN] A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted. The interplay between topological properties and pseudo perfect continuity is inv...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/87472 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/87472 |
| Access Level: | acceso abierto |
| Palabra clave: | (quasi) Perfectly continuous function Slightly continuous function Pseudo-partition topology Alexandroff space |
| Sumario: | [EN] A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted. The interplay between topological properties and pseudo perfect continuity is investigated. Function spaces of pseudo perfectly continuous functions are considered and sufficient conditions for their closedness and compactness in the topology of pointwise convergence are formulated. |
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