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Category theory
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621	Theory and Applications of Categories, Vol. 26, No. 14, 2012, pp. 349–384. BIEQUIVALENCES IN TRICATEGORIES NICK GURSKI Abstract. We show that every internal biequivalence in a tricategory T is part of a biadjoint bieq Add to Reading List Source URL: www.emis.de Language: English - Date: 2012-08-07 10:33:00 Functors Higher category theory Equivalence of categories Bicategory Natural transformation Functor category Monoidal functor Monad Monoidal category Category theory Abstract algebra Adjoint functors
622	MULTIPLICATIVE ORIENTATIONS OF KO-THEORY AND OF THE SPECTRUM OF TOPOLOGICAL MODULAR FORMS MATTHEW ANDO, MICHAEL J. HOPKINS, AND CHARLES REZK Abstract. We describe the space of E∞ spin orientations of KO and the space o Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-05-20 10:57:38 Mathematics Topological modular forms Spectrum Homotopy category Homotopy group Model category Homotopy Elliptic curve Thom space Homotopy theory Topology Abstract algebra
623	Theory and Applications of Categories, Vol. 28, No. 15, 2013, pp. 403–433. TENSORS, MONADS AND ACTIONS Dedicated to the memory of Pawel Waszkiewicz GAVIN J. SEAL Abstract. We exhibit sufficient conditions for a monoid Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-07-03 20:25:00 Abstract algebra Monoidal monad Monoidal functor Monad Monoidal natural transformation Braided monoidal category Kleisli category Monoid Adjoint functors Category theory Monoidal categories Algebra
624	Theory and Applications of Categories, Vol. 28, No. 27, 2013, pp. 933–980. A DOUBLE CATEGORICAL MODEL OF WEAK 2-CATEGORIES SIMONA PAOLI, DORETTE PRONK Abstract. We introduce the notion of weakly globular double catego Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-10-06 12:55:00 Functors Homotopy theory Natural transformation Functor category 2-category Functor Equivalence of categories Adjoint functors Simplicial set Category theory Abstract algebra Higher category theory
625	Theory and Applications of Categories, Vol. 27, No. 2, 2012, pp. 10–26. EXPONENTIABILITY VIA DOUBLE CATEGORIES SUSAN NIEFIELD Abstract. For a small category B and a double category D, let LaxN (B, D) denote / D and mo Add to Reading List Source URL: www.emis.de Language: English - Date: 2012-05-02 13:48:00 Functor category Functor Adjoint functors Diagram Equivalence of categories Cartesian closed category Limit Pushout Profunctor Category theory Functors Natural transformation
626	Theory and Applications of Categories, Vol. 29, No. 27, 2014, pp. 781–818. ON POINTWISE KAN EXTENSIONS IN DOUBLE CATEGORIES SEERP ROALD KOUDENBURG Abstract. In this paper we consider a notion of pointwise Kan extensio Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-11-06 12:25:00 Higher category theory Adjoint functors Functors Universal property Natural transformation Pullback Limit Sheaf 2-category Category theory Abstract algebra Algebra
627	Theory and Applications of Categories, Vol. 28, No. 10, 2013, pp. 250–268. DIAGONAL MODEL STRUCTURES J.F. JARDINE Abstract. The category of bisimplicial presheaves carries a model structure for which the weak equivale Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-05-16 12:56:00 Mathematics Category theory Algebraic topology Adjoint functors Model category Functors Simplicial set Quillen adjunction Weak equivalence Abstract algebra Homotopy theory Topology
628	Theory and Applications of Categories, Vol. 27, No. 8, 2012, pp. 174–188. THE URSINI COMMUTATOR AS NORMALIZED SMITH-PEDICCHIO COMMUTATOR SANDRA MANTOVANI Abstract. We introduce an intrinsic description of the Ursini c Add to Reading List Source URL: www.emis.de Language: English - Date: 2012-09-20 13:45:00 Commutator subgroup Epimorphism Abelian category Presentation of a group Commutator Kernel Abstract algebra Algebra Group theory
629	Theory and Applications of Categories, Vol. 29, No. 20, 2014, pp. 542–568. CONTINUOUS COHESION OVER SETS M. MENNI Abstract. A pre-cohesive geometric morphism p : E → S satisfies Continuity if the ∗ Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-09-17 10:07:00 Mathematics Topos theory Topos Functors Sheaf Grothendieck topology Reflective subcategory Subobject classifier Initial and terminal objects Category theory Abstract algebra Sheaf theory
630	Theory and Applications of Categories, Vol. 29, No. 14, 2014, pp. 389–405. TOWARD CATEGORICAL RISK MEASURE THEORY TAKANORI ADACHI Abstract. We introduce a category that represents varying risk as well as ambiguity. We Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-08-05 12:54:00 Applied mathematics Mathematics Financial economics Conditional expectation Probability space Constructible universe Expected shortfall Dynamic risk measure Expected value Financial risk Mathematical finance Probability theory

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