A study of function space topologies for multifunctions
[EN] Function space topologies are investigated for the class ofcontinuousmultifunctions. Using the notion of continuous convergence, splitting-ness and admissibility are discussed for the topologies on continuousmultifunctions. The theory of net of sets is further developed for thispurpose. The(τ,μ...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| 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:10251/89588 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/89588 |
| Access Level: | acceso abierto |
| Palabra clave: | Multifunction Topology Function space Continuous convergence Splittingness Admissibility |
| Sumario: | [EN] Function space topologies are investigated for the class ofcontinuousmultifunctions. Using the notion of continuous convergence, splitting-ness and admissibility are discussed for the topologies on continuousmultifunctions. The theory of net of sets is further developed for thispurpose. The(τ,μ)-topology on the class of continuous multifunctionsis found to be upper admissible, while the compact-open topology isupper splitting. The point-open topology is the coarsest topology whichis coordinately admissible, it is also the finest topology which is coor-dinately splitting. |
|---|