Enriched lower separation axioms and the principle of enriched continuous extension
[EN] This paper presents a version of the lower separation axioms and the principle of enriched continuous extension for quantale-enriched topological spaces. As a remarkable result, among other things, we point out that in the case of commutative Girard quantales the principle of continuous extensi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/64070 |
| Acceso en línea: | http://hdl.handle.net/10810/64070 |
| Access Level: | acceso abierto |
| Palabra clave: | unital quantale modules in sup quantale-enriched topological space closed presheaves lower separation axioms convergence of quantale-enriched filters extension by quantale-enriched continuity |
| Sumario: | [EN] This paper presents a version of the lower separation axioms and the principle of enriched continuous extension for quantale-enriched topological spaces. As a remarkable result, among other things, we point out that in the case of commutative Girard quantales the principle of continuous extension holds for projective modules in Sup. |
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