Homotopy category

Results: 312



#Item
201Homotopy theory / Morphisms / Category theory / Algebraic structures / Adjoint functors / Isomorphism / Groupoid / Equivalence of categories / Equality / Abstract algebra / Mathematics / Algebra

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

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:23
202Abstract algebra / Homotopy theory / Higher category theory / Algebraic structures / PRO / Groupoid / Braided monoidal category / Functor / Category / Category theory / Algebra / Monoidal categories

What n-Categories Should Be Like John C. Baez A %%

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Source URL: www.ima.umn.edu

Language: English - Date: 2004-06-11 10:36:24
203Abstract algebra / Homotopy type theory / Homotopy group / Homotopy / Model category / Vladimir Voevodsky / Mathematical logic / Type theory / Out / Homotopy theory / Topology / Mathematics

Voevodsky’s Univalence Axiom in homotopy type theory ´ Steve Awodey, Alvaro Pelayo and Michael A. Warren

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:23
204Homotopy theory / Category theory / Algebraic topology / Higher category theory / Algebraic structures / Groupoid / Homotopy / Fundamental group / Equivalence relation / Abstract algebra / Mathematics / Topology

arXiv:0906.4521v1 [math.LO] 24 Jun 2009 ¨ COMPLEXES MARTIN-LOF S. AWODEY, P. HOFSTRA, AND M. A. WARREN Dedicated to Per Martin-L¨

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:23
205Mathematics / Groupoid / Homotopy type theory / Homotopy / Model category / Fundamental group / CW complex / Category theory / Homotopy theory / Topology / Abstract algebra

INTRODUCTION TO THE UNIVALENT FOUNDATIONS OF MATHEMATICS CONSTRUCTIVE TYPE THEORY AND HOMOTOPY STEVE AWODEY CARNEGIE MELLON UNIVERSITY

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:30
206Mathematics / Topology / Algebraic topology / Higher category theory / Model category / Groupoid / Simplicial set / Alexander Grothendieck / Model theory / Abstract algebra / Homotopy theory / Category theory

Homotopy Theoretic Aspects of Constructive Type Theory Michael Alton Warren August 2008 Carnegie Mellon University

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Source URL: www.andrew.cmu.edu

Language: English - Date: 2014-06-01 15:27:30
207Algebraic topology / Morava K-theory / Spectrum / Cohomology / Homotopy group / Homotopy category / Model category / Adams spectral sequence / Stable homotopy theory / Topology / Abstract algebra / Homotopy theory

RIGIDITY THEOREMS IN STABLE HOMOTOPY THEORY CASE FOR SUPPORT 1. Track Records Andrew Baker was awarded a Ph.D. from the University of Manchester in[removed]He spent 11 years in a succession of postdoctoral positions in Can

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Source URL: sarah-whitehouse.staff.shef.ac.uk

Language: English - Date: 2006-10-20 07:01:03
208Homotopy theory / Category theory / Algebraic structures / Symmetry / Groupoid / Group actions / Equivalence relation / Path / Category / Abstract algebra / Mathematics / Algebra

Version 4.2 Metabolism, Reproduction, and Chirality Insights from a groupoid stereochemistry Rodrick Wallace, Ph.D. Division of Epidemiology

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2008-10-29 11:47:41
209Homotopy / Algebraic geometry / CW complex / Algebraic topology / Freudenthal suspension theorem / Homotopy category / Topology / Homotopy theory / Abstract algebra

BOUNDING THE NUMBER OF STABLE HOMOTOPY TYPES OF A PARAMETRIZED FAMILY OF SEMI-ALGEBRAIC SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. We prove a nearly optimal bound on the number of s

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Source URL: www.math.purdue.edu

Language: English - Date: 2010-06-16 13:36:03
210Homotopy theory / Category theory / Higher category theory / Algebraic topology / Algebraic structures / Groupoid / Double groupoid / Seifert–van Kampen theorem / Group action / Abstract algebra / Mathematics / Algebra

Groupoids and crossed objects in algebraic topology Ronald Brown∗ School of Computer Science Bangor University United Kingdom October 23, 2011

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2011-10-23 12:37:46
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