Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/186217
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- Title
- On the axioms for adhesive and quasiadhesive categories
- Related
- Theory and applications of categories, Vol. 27, No. 3, (2012), p.27-46
- Related
- http://www.tac.mta.ca/tac/volumes/27/3/27-03abs.html
- Publisher
- Mount Allison University, Department of Mathematics and Science
- Date
- 2012
- Author/Creator
- Garner, Richard
- Author/Creator
- Lack, Stephen
- Description
- A category is adhesive if it has all pullbacks, all pushouts along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.
- Description
- 20 page(s)
- Subject Keyword
- Adhesive category
- Subject Keyword
- Embedding theorem
- Subject Keyword
- Exactness condition
- Subject Keyword
- Pushout
- Subject Keyword
- Quasiadhesive category
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Computing
- Organisation
- Macquarie University. Dept. of Mathematics
- Identifier
- http://hdl.handle.net/1959.14/186217
- Identifier
- ISSN:1201-561X
- Identifier
- mq-rm-2011008769
- Identifier
- mq_res-ext-2-s2.0-84863303061
- Language
- eng
- Rights
- Copyright the Author(s) 2012. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
- Full Text
- Reviewed
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