A categorical approach to integration.
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Displaying 1 – 20 of 175
A characterization of K-ary algebraic categories.
Horst Herrlich (1971)
Manuscripta mathematica
A characterization of locally -presentable categories
C. Centazzo, J. Rosický, E. M. Vitale (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A construction of -filtered bicolimits of categories
Eduardo J. Dubuc, Ross Street (2006)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A Continuity Criterion for Functors.
Thomas S. Shores (1975)
Mathematische Annalen
A duality between infinitary varieties and algebraic theories
Jiří Adámek, Václav Koubek, Jiří Velebil (2000)
Commentationes Mathematicae Universitatis Carolinae
A duality between -ary varieties and -ary algebraic theories is proved as a direct generalization of the finitary case studied by the first author, F.W. Lawvere and J. Rosick’y. We also prove that for every uncountable cardinal , whenever -small products commute with -colimits in , then must be a -filtered category. We nevertheless introduce the concept of -sifted colimits so that morphisms between -ary varieties (defined to be -ary, regular right adjoints) are precisely the functors...
A duality relative to a limit doctrine.
Centazzo, C., Vitale, E.M. (2002)
Theory and Applications of Categories [electronic only]
A note on direct-product decompositions
Jiří Vinárek (1977)
Commentationes Mathematicae Universitatis Carolinae
A note on -embeddings
Luciano Stramaccia (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A note on subobjects defined by limit construction
Manh Quy Nguyen (1974)
Commentationes Mathematicae Universitatis Carolinae
A Note on the Structure of Injective Diagrams.
Michael Höppner (1983)
Manuscripta mathematica
Abschwächungen des Adjunktionsbegriffs.
Walter Tholen, R. Börger (1976)
Manuscripta mathematica
Abstract physical traces.
Abramsky, Samson, Coecke, Bob (2005)
Theory and Applications of Categories [electronic only]
Adhesive and quasiadhesive categories
Stephen Lack, Paweł Sobociński (2005)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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.
Adhesive and quasiadhesive categories
Stephen Lack, Paweł Sobociński (2010)
RAIRO - Theoretical Informatics and Applications
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.
Adjungierte Dreiecke, Colimites und Kan-Erweiterungen.
Walter Tholen (1975)
Mathematische Annalen
Almost abelian categories
Wolfgang Rump (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
An anabelian definition of abelian homology
René Guitart (2007)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
An example concerning set-functors
Jan Reiterman (1971)
Commentationes Mathematicae Universitatis Carolinae
Applications of the induced morphism theorem in regular categories
Temple H. Fay (1975)
Commentationes Mathematicae Universitatis Carolinae
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