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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Displaying similar documents to “Thin elements and commutative shells in cubical -categories.”
Double categories, 2-categories, thin structures and connections.
Centrality and normality in protomodular categories.
Bourn, Dominique, Gran, Marino (2001)
Theory and Applications of Categories [electronic only]
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Groupoid enriched categories and natural systems.
Pirashvili, Teimuraz (2005)
Theory and Applications of Categories [electronic only]
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Adhesive and quasiadhesive categories
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.
Protomodularity, descent, and semidirect products.
Bourn, D., Janelidze, G. (1998)
Theory and Applications of Categories [electronic only]
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Moore categories.
Rodelo, Diana (2004)
Theory and Applications of Categories [electronic only]
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Thin fillers in the cubical nerves of omega-categories.
Steiner, Richard (2006)
Theory and Applications of Categories [electronic only]
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A categorical genealogy for the congruence distributive property.
Bourn, Dominique (2001)
Theory and Applications of Categories [electronic only]
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Bicat is not triequivalent to Gray.
Lack, Stephen (2007)
Theory and Applications of Categories [electronic only]
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Commutator theory in strongly protomodular categories.
Bourn, Dominique (2004)
Theory and Applications of Categories [electronic only]
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A tensor product for Gray-categories.
Crans, Sjoerd E. (1999)
Theory and Applications of Categories [electronic only]
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On braiding, syllapses and symmetries
Sjoed Crans (2000)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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