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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/173349
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- Title
- Lex colimits
- Related
- Journal of pure and applied algebra, Vol. 216, No. 6, (2012), p.1372-1396
- DOI
- 10.1016/j.jpaa.2012.01.003
- Publisher
- Elsevier
- Date
- 2012
- Author/Creator
- Garner, Richard
- Author/Creator
- Lack, Stephen
- Description
- Many kinds of categorical structure require the existence of finite limits, of colimits of some specified type, and of "exactness" conditions relating the finite limits and the specified colimits. Some examples are the notions of regular, Barr-exact, lextensive, coherent, or adhesive category. We introduce a general notion of exactness, of which each of the structures listed above, and others besides, are particular instances. The notion can be understood as a form of cocompleteness "in the lex world"-more precisely, in the 2-category of finitely complete categories and finite-limit-preserving functors.
- Description
- 25 page(s)
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Computing
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/173349
- Identifier
- ISSN:0022-4049
- Identifier
- mq-rm-2011006893
- Identifier
- mq_res-ext-2-s2.0-84857063853
- Language
- eng
- Reviewed
Macquarie University ResearchOnline
