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Homotopy
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#	Item
771	K-THEORY OF A WALDHAUSEN CATEGORY AS A SYMMETRIC SPECTRUM MITYA BOYARCHENKO Abstract. If C is a Waldhausen category (i.e., a “category with cofibrations and weak equivalences”), it is known that one can define its K- Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2007-11-04 13:29:42 Mathematics Topology Waldhausen category Cofibration Algebraic K-theory Weak equivalence Simplicial set Q Nerve Abstract algebra Homotopy theory Category theory
772	Structuralism, Invariance, and Univalence∗ Steve Awodey March 4, 2014 Abstract The recent discovery of an interpretation of constructive type theory into abstract homotopy theory suggests a new approach to the Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:23 Homotopy theory Morphisms Category theory Algebraic structures Adjoint functors Isomorphism Groupoid Equivalence of categories Equality Abstract algebra Mathematics Algebra
773	Recent Work in Homotopy Type Theory Steve Awodey Carnegie Mellon University AMS Baltimore January 2014 Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:30 Abstract algebra Homotopy type theory Groupoid Homotopy Lambda calculus Path Fundamental group Function Hurewicz theorem Homotopy theory Topology Mathematics
774	What n-Categories Should Be Like John C. Baez A %% Add to Reading List Source URL: www.ima.umn.edu Language: English - Date: 2004-06-11 10:36:24 Abstract algebra Homotopy theory Higher category theory Algebraic structures PRO Groupoid Braided monoidal category Functor Category Category theory Algebra Monoidal categories
775	Voevodsky’s Univalence Axiom in homotopy type theory ´ Steve Awodey, Alvaro Pelayo and Michael A. Warren Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:23 Abstract algebra Homotopy type theory Homotopy group Homotopy Model category Vladimir Voevodsky Mathematical logic Type theory Out Homotopy theory Topology Mathematics
776	arXiv:0906.4521v1 [math.LO] 24 Jun 2009 ¨ COMPLEXES MARTIN-LOF S. AWODEY, P. HOFSTRA, AND M. A. WARREN Dedicated to Per Martin-L¨ Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:23 Homotopy theory Category theory Algebraic topology Higher category theory Algebraic structures Groupoid Homotopy Fundamental group Equivalence relation Abstract algebra Mathematics Topology
777	INTRODUCTION TO THE UNIVALENT FOUNDATIONS OF MATHEMATICS CONSTRUCTIVE TYPE THEORY AND HOMOTOPY STEVE AWODEY CARNEGIE MELLON UNIVERSITY Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:30 Mathematics Groupoid Homotopy type theory Homotopy Model category Fundamental group CW complex Category theory Homotopy theory Topology Abstract algebra
778	Homotopy Type Theory and Univalent Foundations of Mathematics Steve Awodey Carnegie Mellon University Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:30 Homotopy type theory Homotopy Mathematical logic Algebraic topology Homotopy group Homotopy theory Topology Mathematics
779	Homotopy Theoretic Aspects of Constructive Type Theory Michael Alton Warren August 2008 Carnegie Mellon University Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2014-06-01 15:27:30 Mathematics Topology Algebraic topology Higher category theory Model category Groupoid Simplicial set Alexander Grothendieck Model theory Abstract algebra Homotopy theory Category theory
780	Locations∗ John Hawthorne and Theodore Sider Philosophical Topics[removed]): 53–76. Think of “locations” very abstractly, as positions in a space, any space. Add to Reading List Source URL: tedsider.org Language: English - Date: 2009-06-06 15:12:05 Algebraic topology Abstract algebra Metaphysics Fiber bundles Homotopy theory Problem of universals Universal Bundle theory Connection Topology Ontology Differential topology

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