A 2-categorical approach to change of base and geometric morphisms. II.
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Displaying 1 – 20 of 100
A brief review of abelian categorifications.
Khovanov, Mikhail, Mazorchuk, Volodymyr, Stroppel, Catharina (2009)
Theory and Applications of Categories [electronic only]
A cartesian closed extension of a category of affine schemes
Paul Cherenack (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A categorical approach to integration.
Börger, Reinhard (2010)
Theory and Applications of Categories [electronic only]
A categorical concept of completion of objects
Guillaume C. L. Brümmer, Eraldo Giuli (1992)
Commentationes Mathematicae Universitatis Carolinae
We introduce the concept of firm classes of morphisms as basis for the axiomatic study of completions of objects in arbitrary categories. Results on objects injective with respect to given morphism classes are included. In a finitely well-complete category, firm classes are precisely the coessential first factors of morphism factorization structures.
A categorical guide to separation, compactness and perfectness.
Tholen, Walter (1999)
Homology, Homotopy and Applications
A category theoretical background for homomorphism theorems
Peter Burmeister, Bolesław Wojdyło (1989)
Colloquium Mathematicae
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 classification of degree functors, I
B. Johnson, R. McCarthy (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A classification of degree functors, II
B. Johnson, R. McCarthy (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A coalgebraic view on reachability
Thorsten Wißmann, Stefan Milius, Shin-ya Katsumata, Jérémy Dubut (2019)
Commentationes Mathematicae Universitatis Carolinae
Coalgebras for an endofunctor provide a category theoretic framework for modeling a wide range of state-based systems of various types. We provide an iterative construction of the reachable part of a given pointed coalgebra that is inspired by and resembles the standard breadth-first search procedure to compute the reachable part of a graph. We also study coalgebras in Kleisli categories: for a functor extending a functor on the base category, we show that the reachable part of a given pointed coalgebra...
A completion functor for Cauchy groups.
Fric, R., Kent, Darrell C. (1981)
International Journal of Mathematics and Mathematical Sciences
A concentration of categories with non-injective monomorphisms
Vítězslav Veselý (1979)
Archivum Mathematicum
A construction of -filtered bicolimits of categories
Eduardo J. Dubuc, Ross Street (2006)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
A construction of right groups from a connected groupoid.
G. Szeto (1976/1977)
Semigroup forum
A Continuity Criterion for Functors.
Thomas S. Shores (1975)
Mathematische Annalen
A convenient category for directed homotopy.
Fajstrup, L., Rosický, J. (2008)
Theory and Applications of Categories [electronic only]
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]
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