Crossconvergence: A new bounded topological presentation
[EN] We present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness. The corresponding construct CCONV forms a strong topological universe, respectively quasitopos, in which quotients are stable under...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2026 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:dnet:riunet______::3d17fae123c4cd14b514373248c73272 |
| Online Access: | https://riunet.upv.es/handle/10251/235894 |
| Access Level: | Open access |
| Keyword: | Continuity structures Generalized continuity structures Convenient topology Bounded topology Quasitopos Strong topological universe |
| Summary: | [EN] We present crossconvergence, which commonly generalize bornology, preuniform convergence, orderconvergence, b-uniform filtration and grill-determined prenearness. The corresponding construct CCONV forms a strong topological universe, respectively quasitopos, in which quotients are stable under arbitrary products. We also discuss its enlargement to semicrossconvergence and precrossconvergence, respectively. |
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