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Quillen adjunction
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1	SIMPLICIAL STRUCTURES ON MODEL CATEGORIES AND FUNCTORS By CHARLES REZK, STEFAN SCHWEDE, and BROOKE SHIPLEY Abstract. We produce a highly structured way of associating a simplicial category to a model category which impr Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2003-11-07 09:15:53 Homotopy theory Mathematics Topology Abstract algebra Model category Simplicial set Simplicial presheaf Quillen adjunction Weak equivalence Homotopy category Fibration Nerve
2	Young Women in Topology Bonn, June 25 – 27, 2010 Why HZ-algebra spectra are differential graded algebras ? Varvara Karpova Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2010-07-29 06:56:07 Homotopy theory Monoidal categories Algebras Category theory Ring theory Monoid Model category Differential graded algebra Spectrum Symmetric spectrum Quillen adjunction Ring
3	On rigidity of the ring spectra PmS(p) and ko Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2012-10-05 05:42:27 Homotopy theory Model category Highly structured ring spectrum Homotopy category Spectrum Derived category Stable model category Algebraic K-theory Cohomology Quillen adjunction Homotopy Triangulated category
4	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
5	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
6	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
7	Homotopy Theory of Higher Categories Add to Reading List Source URL: hal.archives-ouvertes.fr Language: English - Date: 2010-01-22 15:53:50 Topology Mathematics Model category Simplicial set Higher category theory Quillen adjunction Nerve Algebraic topology Cofibration Homotopy theory Category theory Abstract algebra
8	arXiv:1001.2282v4 [math.KT] 5 Feb 2013 Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-02-06 22:10:52 Algebra Model category Algebraic topology Homotopy category Quillen adjunction Simplicial set Equivalence of categories Homotopy group Motive Abstract algebra Topology Homotopy theory
9	“Simplicial Localisation” — Saul Glasman — [removed]Abstract The message of simplicial localisation is that trying to invert morphisms in a category catapults the would-be-inverter into homotopy theory, whether they want to be there or not. This Add to Reading List Source URL: math.mit.edu Language: English - Date: 2011-11-10 11:31:35 Category theory Mathematics Model category Simplicial set Quillen adjunction Weak equivalence Nerve Kan fibration Fibrant object Homotopy theory Abstract algebra Topology
10	SIMPLICIAL COMMUTATIVE RINGS, I AKHIL MATHEW Add to Reading List Source URL: people.fas.harvard.edu Language: English - Date: 2012-05-22 16:29:33 Mathematics Model category Simplicial set Cotangent complex Simplicial sphere Quillen adjunction Simplicial map Homological algebra Homology Abstract algebra Homotopy theory Topology

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