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arXiv · 1803.06651

Limits in dagger categories

Chris Heunen·Martti Karvonen
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Abstract

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.

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Chris Heunen, Martti Karvonen. 2018-03-18. Limits in dagger categories. https://doi.org/10.70930/tac%2F2o9hyq8b

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