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Homotopy category
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101	HOMOLOGICAL STABILITY FOR AUTOMORPHISM GROUPS NATHALIE WAHL Abstract. We prove a general homological stability theorem for families of automorphism groups in certain categories. We show that this theorem can be applied t Add to Reading List Source URL: www.math.ku.dk Language: English - Date: 2014-09-11 14:37:15 Monoidal categories Category theory Homotopy theory Algebraic topology Symmetry Monoidal functor Braided monoidal category Groupoid Category Abstract algebra Algebra Mathematics
102	Spans and the Categorified Heisenberg Algebra – 3 John Baez for more, see: http://math.ucr.edu/home/baez/spans/ Add to Reading List Source URL: math.ucr.edu Language: English - Date: 2013-08-16 01:08:39 Homotopy theory Algebraic structures Higher category theory Monoidal categories Groupoid Functor Category Coproduct Natural transformation Abstract algebra Category theory Algebra
103	NEW EXAMPLES OF GROUPS ACTING ON REAL TREES ASHOT MINASYAN Abstract. We construct the first example of a finitely generated group which has Serre’s property (FA) (i.e., whenever it acts on a simplicial tree it fixes a Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2014-04-05 06:16:22 Geometric group theory Group theory Algebraic topology Homotopy theory Category theory Bass–Serre theory Fundamental group Simplicial set Real tree Abstract algebra Mathematics Algebra
104	SIMPLICIAL METHODS Contents 1. Introduction 2. The category of finite ordered sets 3. Simplicial objects Add to Reading List Source URL: stacks.math.columbia.edu Language: English - Date: 2015-04-15 15:08:37 Topology Homotopy theory Algebraic topology Simplicial set Sheaf Kan fibration Grothendieck topology Functor Universal property Abstract algebra Category theory Mathematics
105	THE HOMOTOPY THEORY OF EQUIVALENCE RELATIONS ´ FINNUR LARUSSON Abstract. We give a detailed exposition of the homotopy theory of equivalence relations, perhaps the simplest nontrivial example of a model structure. Add to Reading List Source URL: www.maths.adelaide.edu.au Language: English - Date: 2007-04-22 23:25:56 Category theory Mathematics Model category Fibration Weak equivalence Homotopy category Adjoint functors Simplicial set Equivalence relation Abstract algebra Homotopy theory Topology
106	The intrinsic topology of a univalent universe Mart´ın Escard´ o University of Birmingham, UK 4FTW, June 2012, Ljubljana, Slovenia Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2012-06-19 08:18:06 Category of topological spaces Trivial topology Topos Continuous function Grothendieck topology Discrete space Homotopy Topology General topology Topological space
107	ACTIONS OF CLASSICAL SMALL CATEGORIES E. E. Floyd and W. J. Floyd Author addresses: Dept. of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, U.S.A. Add to Reading List Source URL: www.math.vt.edu Language: English - Date: 1996-10-14 11:55:13 Mathematics Homotopy category Functor Homotopy group Cofibration Homotopy Category of topological spaces Classifying space Equivalence of categories Topology Homotopy theory Abstract algebra
108	THE STABLE FREE RANK OF SYMMETRY OF PRODUCTS OF SPHERES BERNHARD HANKE A BSTRACT. A well known conjecture in the theory of transformation groups states that if p is a prime and (Z/p)r acts freely on a product of k sphere Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2013-12-05 22:03:02 Homotopy theory Homology theory Homological algebra Binary operations Cohomology Rational homotopy theory Cup product Chain complex Model category Abstract algebra Topology Algebraic topology
109	Theory and Applications of Categories, Vol. 18, No. 19, 2007, pp. 602–630. COLLARED COSPANS, COHOMOTOPY AND TQFT (COSPANS IN ALGEBRAIC TOPOLOGY, II) MARCO GRANDIS Abstract. Add to Reading List Source URL: www.tac.mta.ca Language: English - Date: 2007-11-27 15:21:20 Homotopy theory Algebraic topology Pushout Homotopy category Fundamental group Functor Homotopy Category of topological spaces Span Topology Abstract algebra Category theory
110	RATIONAL HOMOTOPY AUTOMORPHISMS OF E2 -OPERADS ¨ AND THE GROTHENDIECK-TEICHMULLER GROUP BENOIT FRESSE Add to Reading List Source URL: math.univ-lille1.fr Language: English - Date: 2014-03-02 01:51:56 Algebra Category theory Algebraic topology E∞-operad Operad theory Model category Homotopy group Rational homotopy theory Hopf algebra Homotopy theory Topology Abstract algebra

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