A categorical perspective on extended metric-topological spaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917196107612160 |
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| author | Pasqualetto, Enrico Schultz, Timo Taipalus, Janne |
| author_facet | Pasqualetto, Enrico Schultz, Timo Taipalus, Janne |
| contents | Motivated by the analysis and geometry of metric-measure structures in infinite dimensions, we study the category of extended metric-topological spaces, along with many of its distinguished subcategories (such as the one of compact spaces). One of the main achievements is the proof of the bicompleteness (i.e. of the existence of all small limits and colimits) of the aforementioned categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07505 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A categorical perspective on extended metric-topological spaces Pasqualetto, Enrico Schultz, Timo Taipalus, Janne Category Theory General Topology Metric Geometry 18F60, 46M40, 46M15, 49J52, 53C23 Motivated by the analysis and geometry of metric-measure structures in infinite dimensions, we study the category of extended metric-topological spaces, along with many of its distinguished subcategories (such as the one of compact spaces). One of the main achievements is the proof of the bicompleteness (i.e. of the existence of all small limits and colimits) of the aforementioned categories. |
| title | A categorical perspective on extended metric-topological spaces |
| topic | Category Theory General Topology Metric Geometry 18F60, 46M40, 46M15, 49J52, 53C23 |
| url | https://arxiv.org/abs/2601.07505 |