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...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/87472 |
| Online Access: | https://riunet.upv.es/handle/10251/87472 |
| Access Level: | Open access |
| Keyword: | (quasi) Perfectly continuous function Slightly continuous function Pseudo-partition topology Alexandroff space |
| Summary: | [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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