Category theory

Results: 1468



#Item
651Topology / Higher category theory / Adjoint functors / Model category / Bicategory / Functors / Equivalence of categories / Weak equivalence / Fibrant object / Homotopy theory / Abstract algebra / Category theory

Theory and Applications of Categories, Vol. 29, No. 29, 2014, pp. 836–873. BICATEGORICAL FIBRATION STRUCTURES AND STACKS DORETTE A. PRONK AND MICHAEL A. WARREN Abstract. In this paper we introduce two notions —syste

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Language: English - Date: 2014-12-08 12:40:00
652Category theory / Functional analysis / Projection / linear algebra / Nerve / Homological algebra / Combinatory logic / Meijer G-function / Abstract algebra / Mathematics / Algebra

Theory and Applications of Categories, Vol. 28, No. 23, 2013, pp. 733–779. THE ALGEBRA OF THE NERVES OF OMEGA-CATEGORIES RICHARD STEINER Abstract. We show that the nerve of a strict omega-category can be described alg

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Language: English - Date: 2013-09-01 12:03:00
653Additive categories / Homological algebra / Functors / General topology / Pushout / Complete category / Abelian category / Topos / Limit / Category theory / Abstract algebra / Mathematics

Theory and Applications of Categories, Vol. 27, No. 1, 2012, pp. 2–9. REMARKS ON EXACTNESS NOTIONS PERTAINING TO PUSHOUTS RICHARD GARNER Abstract. We call a finitely complete category diexact if every difunctional rel

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Language: English - Date: 2012-03-20 14:48:00
654Algebraic topology / Differential topology / Homological algebra / Sheaf theory / Vector bundles / Functor / Sheaf / Category / Projective module / Abstract algebra / Topology / Algebra

Theory and Applications of Categories, Vol. 29, No. 28, 2014, pp. 819–835. ´ A SERRE-SWAN THEOREM FOR GERBE MODULES ON ETALE LIE GROUPOIDS CHRISTOPH SCHWEIGERT, CHRISTOPHER TROPP AND ALESSANDRO

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Language: English - Date: 2014-11-17 11:47:00
655Category theory / Frobenius algebra / Hopf algebra / Monoidal functor / Tensor algebra / Bialgebra / Coalgebra / Adjoint functors / Natural transformation / Algebra / Abstract algebra / Monoidal categories

Theory and Applications of Categories, Vol. 26, No. 9, 2012, pp. 233–280. GRAPHICAL METHODS FOR TANNAKA DUALITY OF WEAK BIALGEBRAS AND WEAK HOPF ALGEBRAS MICAH BLAKE MCCURDY Abstract. Tannaka duality describes the rel

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Language: English - Date: 2012-05-28 14:04:00
656Mathematics / Braided monoidal category / Monoidal functor / Cartesian closed category / Multicategory / Monoidal natural transformation / Monoid / Strong monad / PRO / Category theory / Algebra / Monoidal categories

Theory and Applications of Categories, Vol. 28, No. 2, 2013, pp. 24–65. FREE PRODUCTS OF HIGHER OPERAD ALGEBRAS MARK WEBER Abstract. One of the open problems in higher category theory is the systematic construction of

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Language: English - Date: 2013-01-25 13:40:00
657Functors / Enriched category / Coproduct / Cartesian closed category / Monoidal functor / Product / Braided monoidal category / Fibred category / Monoid / Category theory / Algebra / Monoidal categories

Theory and Applications of Categories, Vol. 28, No. 21, 2013, pp. 616–695. ENRICHED INDEXED CATEGORIES MICHAEL SHULMAN Abstract. We develop a theory of categories which are simultaneously (1) indexed over a base categ

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Language: English - Date: 2013-08-05 12:35:00
658Differential geometry / Algebraic topology / Homotopy theory / Homological algebra / Functor / Gerbe / Natural transformation / Holonomy / Sheaf / Abstract algebra / Category theory / Mathematics

Theory and Applications of Categories, Vol. 28, No. 17, 2013, pp. 476–540. CONNECTIONS ON NON-ABELIAN GERBES AND THEIR HOLONOMY URS SCHREIBER AND KONRAD WALDORF Abstract. We introduce an axiomatic framework for the pa

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Source URL: www.emis.de

Language: English - Date: 2013-07-17 13:09:00
659Higher category theory / Adjoint functors / Monoidal functor / Enriched category / Bicategory / N-category / Monad / Functor / 2-category / Category theory / Monoidal categories / Algebra

Theory and Applications of Categories, Vol. 28, No. 1, 2013, pp. 1–23. THE MONOIDAL STRUCTURE OF STRICTIFICATION NICK GURSKI Abstract. We study the monoidal structure of the standard strictification functor st : Bicat

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Language: English - Date: 2013-01-24 12:44:00
660Braided monoidal category / Monoidal monad / Monoidal functor / Monoid / Closed monoidal category / PRO / Bicategory / Enriched category / *-autonomous category / Monoidal categories / Category theory / Algebra

Theory and Applications of Categories, Vol. 26, No. 15, 2012, pp. 385402. SKEW MONOIDALES, SKEW WARPINGS AND QUANTUM CATEGORIES

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Language: English - Date: 2012-09-04 13:12:00
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