Limits in dagger categories
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866915479468113920 |
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| author | Heunen, Chris Karvonen, Martti |
| author_facet | Heunen, Chris Karvonen, Martti |
| contents | We develop a notion of limit for dagger categories, that we show is suitable in the following ways: it subsumes special cases known from the literature; dagger limits are unique up to unitary isomorphism; a wide class of dagger limits can be built from a small selection of them; dagger limits of a fixed shape can be phrased as dagger adjoints to a diagonal functor; dagger limits can be built from ordinary limits in the presence of polar decomposition; dagger limits commute with dagger colimits in many cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_06651 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Limits in dagger categories Heunen, Chris Karvonen, Martti Category Theory 18A40, 18C15, 18C20, 18D10, 18D15, 18D35 We develop a notion of limit for dagger categories, that we show is suitable in the following ways: it subsumes special cases known from the literature; dagger limits are unique up to unitary isomorphism; a wide class of dagger limits can be built from a small selection of them; dagger limits of a fixed shape can be phrased as dagger adjoints to a diagonal functor; dagger limits can be built from ordinary limits in the presence of polar decomposition; dagger limits commute with dagger colimits in many cases. |
| title | Limits in dagger categories |
| topic | Category Theory 18A40, 18C15, 18C20, 18D10, 18D15, 18D35 |
| url | https://arxiv.org/abs/1803.06651 |