On Isbell's density theorem for bitopological pointfree spaces I
This paper addresses dense sub-objects for point-free bitopology in terms of d-frames and provides several examples. We characterize extremal epimorphisms in d-frames and show that a smallest dense one always exists, establishing a proper analogue of Isbell's Density Theorem for d-frames. Furth...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/71921 |
| Acceso en línea: | http://hdl.handle.net/10810/71921 |
| Access Level: | acceso abierto |
| Palabra clave: | frame locale bitopology subobject extremal epimorphism d-frame subspace |
| Sumario: | This paper addresses dense sub-objects for point-free bitopology in terms of d-frames and provides several examples. We characterize extremal epimorphisms in d-frames and show that a smallest dense one always exists, establishing a proper analogue of Isbell's Density Theorem for d-frames. Further we explore certain questions about the functoriality of assigning the smallest dense sub-object to each pointfree bitopological space. |
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