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Homotopy category
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121	The Geometry and Topology of Orientifolds II Dan Freed University of Texas at Austin May 21, 2009 Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2009-05-21 23:23:19 Algebraic topology Homotopy theory Homological algebra Sheaf theory Category theory Groupoid Cohomology Covering space Atiyah–Singer index theorem Abstract algebra Topology Mathematics
122	Volume II The Theory of Quasi-Categories and its Applications Andr´e Joyal Add to Reading List Source URL: mat.uab.cat Language: English - Date: 2012-08-08 00:31:51 Category theory Mathematics Algebraic topology Quasi-category Model category Higher category theory Simplicial set Fibrant object Nerve Abstract algebra Topology Homotopy theory
123	Stacks and the homotopy theory of simplicial sheaves J.F. Jardine September 28, 2000 Introduction Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-04-05 13:01:29 Homotopy theory Sheaf theory Algebraic topology Functors Sheaf Grothendieck topology Topos Limit Nerve Abstract algebra Category theory Topology
124	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
125	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
126	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
127	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
128	Theory and Applications of Categories, Vol. 26, No. 8, 2012, pp. 204–232. A CHARACTERIZATION OF REPRESENTABLE INTERVALS MICHAEL A. WARREN Abstract. In this note we provide a characterization, in terms of additional al Add to Reading List Source URL: www.emis.de Language: English - Date: 2012-04-19 10:11:00 Monoidal categories Homotopy theory Closed monoidal category Homotopy Adjoint functors Monoid Tensor product Natural transformation Model category Category theory Algebra Abstract algebra
129	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
130	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

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