Double categories, 2-categories, thin structures and connections.
Brown, Ronald, Mosa, Ghafar H. (1999)
Theory and Applications of Categories [electronic only]
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Brown, Ronald, Mosa, Ghafar H. (1999)
Theory and Applications of Categories [electronic only]
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Andrée Ehresmann, Charles Ehresmann (1979)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Dawson, Robert (1995)
Theory and Applications of Categories [electronic only]
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Lack, Stephen (2007)
Theory and Applications of Categories [electronic only]
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Dundas, Bjørn Ian (2001)
Theory and Applications of Categories [electronic only]
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Forcey, Stefan (2004)
Theory and Applications of Categories [electronic only]
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Grandis, Marco, Mauri, Luca (2003)
Theory and Applications of Categories [electronic only]
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Stephen Lack, Paweł Sobociński (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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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.
Forcey, Stefan (2004)
Algebraic & Geometric Topology
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Crans, Sjoerd E. (1999)
Theory and Applications of Categories [electronic only]
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Andrée Ehresmann, Charles Ehresmann (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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