Cardinal invariants and special maps of quasicontinuous functions with the topology of pointwise convergence
[EN] For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2022 |
| 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:10251/187124 |
| Online Access: | https://riunet.upv.es/handle/10251/187124 |
| Access Level: | Open access |
| Keyword: | Quasicontinuous functions Topology of pointwise convergence Character Density Weight Cellularity Spread Induced map Restriction map |
| Summary: | [EN] For topological spaces X and Y, let Qp(X,Y) be the space of all quasicontinuous functions from X to Y with the topology of pointwise convergence. In this paper, we study the cardinal invariants such as cellularity, character, weight, density, pseudocharacter and spread of the space Qp(X,Y). We also discuss the properties of the restriction and induced maps related to the space Qp(X,Y). |
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