Projects per year
Abstract
This paper has two objectives. The first is to develop the theory of bicategories enriched in a monoidal bicategory-categorifying the classical theory of categories enriched in a monoidal category-up to a description of the free cocompletion of an enriched bicategory under a class of weighted bicolimits. The second objective is to describe a universal property of the process assigning to a monoidal category V the equipment of V-enriched categories, functors, transformations, and modules; we do so by considering, more generally, the assignation sending an equipment C to the equipment of C-enriched categories, functors, transformations, and modules, and exhibiting this as the free cocompletion of a certain kind of enriched bicategory under a certain class of weighted bicolimits.
Original language | English |
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Pages (from-to) | 1-94 |
Number of pages | 94 |
Journal | Advances in Mathematics |
Volume | 289 |
DOIs | |
Publication status | Published - 5 Feb 2016 |
Keywords
- Enriched bicategory theory
- Enriched categories
- Free cocompletions
- Equipments
Fingerprint
Dive into the research topics of 'Enriched categories as a free cocompletion'. Together they form a unique fingerprint.Projects
- 2 Finished
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Structural homotopy theory: a category-theoretic study
Street, R., Lack, S., Verity, D., Garner, R., MQRES, M., MQRES 3 (International), M. 3., MQRES 4 (International), M. & MQRES (International), M.
1/01/13 → 31/12/16
Project: Research
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