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...
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/187124 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/187124 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Quasicontinuous functions Topology of pointwise convergence Character Density Weight Cellularity Spread Induced map Restriction map |
| Sumario: | [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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