Heunen, Chris;
Karvonen, Martti;
(2019)
Limits in dagger categories.
Theory and Applications of Categories
, 34
pp. 468-513.
Preview |
PDF
Heunen & Karvonen - Limits in dagger categories.pdf - Accepted Version Download (435kB) | Preview |
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.
| Type: | Article |
|---|---|
| Title: | Limits in dagger categories |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | http://www.tac.mta.ca/tac/volumes/34/18/34-18abs.h... |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10193411 |
Archive Staff Only
 |
View Item |
