Geodesic
Adhesive and quasiadhesive categories
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 3, pp. 511-545 Cet article a éte moissonné depuis la source Numdam

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We introduce adhesive categories, which are categories with structure ensuring that pushouts along monomorphisms are well-behaved, as well as quasiadhesive categories which restrict attention to regular monomorphisms. Many examples of graphical structures used in computer science are shown to be examples of adhesive and quasiadhesive categories. Double-pushout graph rewriting generalizes well to rewriting on arbitrary adhesive and quasiadhesive categories.

DOI : 10.1051/ita:2005028
Classification : 18A30, 18A35, 18D99, 68Q42, 68Q65
Keywords: adhesive categories, quasiadhesive categories, extensive categories, category theory, graph rewriting 
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     author = {Lack, Stephen and Soboci\'nski, Pawe{\l}},
     title = {Adhesive and quasiadhesive categories},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {511--545},
     year = {2005},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {3},
     doi = {10.1051/ita:2005028},
     zbl = {1078.18010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2005028/}
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Lack, Stephen; Sobociński, Paweł. Adhesive and quasiadhesive categories. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 39 (2005) no. 3, pp. 511-545. doi: 10.1051/ita:2005028

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