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Simplicial set
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61	The Bar Construction Let k be a commutative ring and let A be a k-algebra. Let X be a right module over A and let Y be a left module over A. Then we can construct a simplicial k-module {Bn (X, A, Y )}∞ n=0 whose ⊗n n Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2011-12-11 17:09:27 Homotopy theory Fiber bundles Group actions Category theory Algebraic topology Simplicial set Classifying space Functor Universal bundle Abstract algebra Topology Algebra
62	Theory and Applications of Categories, Vol. 28, No. 29, 2013, pp. 1002–[removed]RELATIVE MAL’TSEV CATEGORIES TOMAS EVERAERT, JULIA GOEDECKE, TAMAR JANELIDZE-GRAY AND TIM VAN DER LINDEN Abstract. We define relative regu Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-10-14 12:21:00 Algebraic topology Morphisms Homological algebra Homotopy theory Epimorphism Simplicial set Sheaf Monomorphism Category Abstract algebra Category theory Algebra
63	Theory and Applications of Categories, Vol. 28, No. 24, 2013, pp. 780–803. COMPLICIAL STRUCTURES IN THE NERVES OF OMEGA-CATEGORIES RICHARD STEINER Abstract. It is known that strict omega-categories are equivalent thro Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-09-01 12:09:00 Mathematics Category theory Homotopy theory Nerve Simplicial set Simplex category Sheaf CW complex Abstract simplicial complex Topology Abstract algebra Algebraic topology
64	c Cambridge Philosophical Society 2009 Math. Proc. Camb. Phil. Soc[removed]), 147, 593 593 doi:[removed]S030500410900262X Add to Reading List Source URL: www.math.univ-toulouse.fr Language: English - Date: 2010-09-17 19:24:06 Homotopy theory Algebraic topology Functors Adjoint functors Simplicial set Natural transformation Equivalence of categories Yoneda lemma Sheaf Abstract algebra Category theory Mathematics
65	Theory and Applications of Categories, Vol. 28, No. 11, 2013, pp. 269–303. HOMOTOPY THEORIES OF DIAGRAMS J.F. JARDINE Abstract. Suppose that S is a space. There is an injective and a projective model structure for the Add to Reading List Source URL: www.emis.de Language: English - Date: 2013-05-16 13:05:00 Mathematics Category theory Algebraic topology Model category Simplicial set Quillen adjunction Weak equivalence Homotopy category Kan fibration Homotopy theory Topology Abstract algebra
66	Theory and Applications of Categories, Vol. 29, No. 22, 2014, pp. 609–634. REALIZABLE HOMOTOPY COLIMITS ´ BEATRIZ RODR´IGUEZ GONZALEZ Abstract. We show that the composition of a homotopically meaningful ‘geometric Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-10-21 11:23:00 Mathematics Homotopy theory Model category Simplicial set Adjoint functors Quillen adjunction Limit Equivalence of categories Nerve Topology Abstract algebra Category theory
67	Theory and Applications of Categories, Vol. 29, No. 9, 2014, pp. 256301. THE THEORY AND PRACTICE OF REEDY CATEGORIES EMILY RIEHL AND DOMINIC VERITY Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-06-13 13:14:00 Functors Limit Diagram Equivalence of categories Model category Universal property Simplicial set Representable functor Initial and terminal objects Category theory Abstract algebra Mathematics
68	Theory and Applications of Categories, Vol. 29, No. 23, 2014, pp. 635–653. CONSTRUCTING MODEL CATEGORIES WITH PRESCRIBED FIBRANT OBJECTS ALEXANDRU E. STANCULESCU Abstract. We present a weak form of a recognition princ Add to Reading List Source URL: www.emis.de Language: English - Date: 2014-10-23 11:47:00 Category theory Mathematics Algebraic topology Monoidal categories Model category Adjoint functors Fibrant object Kan fibration Simplicial set Homotopy theory Abstract algebra Topology
69	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
70	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

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