Homotopy theory

Results: 956



#Item
631Group theory / Category theory / Higher category theory / Algebraic structures / Crossed module / Groupoid / Double groupoid / Lie groupoid / 2-group / Abstract algebra / Algebra / Homotopy theory

Applied Categorical Structures 11: 185–206, 2003. © 2003 Kluwer Academic Publishers. Printed in the Netherlands[removed]Homotopies and Automorphisms of Crossed

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2007-03-15 03:50:38
632Category theory / Homotopy theory / Algebraic structures / Group actions / Algebraic topology / Groupoid / Double groupoid / Crossed module / Ronald Brown / Abstract algebra / Algebra / Mathematics

The Equivalence of ∞-groupoids and Crossed Complexes∗ Ronald Brown and Philip J Higgins Contents Introduction

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2007-02-28 12:57:33
633Mathematics / Algebraic topology / Category theory / Higher category theory / Algebraic structures / Groupoid / Double groupoid / Crossed module / Seifert–van Kampen theorem / Abstract algebra / Topology / Homotopy theory

The algebra of cubes∗† Philip J. Higgins, Department of Mathematics Durham University Durham, DH1 3LE England

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2007-01-19 16:07:06
634Homotopy theory / Category theory / Algebraic topology / Group actions / CW complex / Seifert–van Kampen theorem / Groupoid / Constructible universe / Abstract algebra / Topology / Mathematics

The Equivalence of ω-Groupoids and Cubical T -Complexes Ronald Brown and Philip J. Higgins∗ Introduction The Seifert-van Kampen Theorem involves the category Top∗ of spaces

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2006-12-02 13:18:44
635Homotopy theory / Algebraic topology / Category theory / Higher category theory / Algebraic structures / Double groupoid / Crossed module / Groupoid / Seifert–van Kampen theorem / Abstract algebra / Topology / Mathematics

Crossed complexes and higher homotopy groupoids as non commutative tools for higher dimensional local-to-global problems∗ Ronald Brown† March 1, 2009

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2009-03-01 12:04:52
636Homotopy theory / Homotopy group / Crossed module / Fundamental group / Covering space / Sheaf / Functor / Adjoint functors / Group cohomology / Abstract algebra / Topology / Algebraic topology

VAN KAMPEN THEOREMS FOR DIAGRAMS OF SPACES∗ Ronald Brown and Jean-Louis Loday INTRODUCTION LET X be a pointed space and {A, B} an open cover of X such that A, B and C = A ∩ B are connected, and (A, C), (B, C) are 1-c

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2008-04-14 14:49:48
637Homotopy theory / Algebraic topology / 3-manifolds / Manifold / Homotopy / Topological manifold / Cobordism / Characteristic class / Knot / Topology / Differential topology / Geometric topology

Section Talks Discrete Geometry and Algebraic Topology Malkhaz Bakuradze Montpellier, France Presentations of some Morava K-theory rings in Chern classes Ludwig Danzer Dortmund, Germany Do the canonical cells permit a q

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Source URL: keldysh-100.mi.ras.ru

Language: English - Date: 2004-08-23 05:08:01
638Mathematics / Category theory / Higher category theory / Algebraic topology / Algebraic structures / Double groupoid / Groupoid / Seifert–van Kampen theorem / Crossed module / Abstract algebra / Homotopy theory / Topology

C AHIERS DE TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES RONALD B ROWN C HRISTOPHER B. S PENCER

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2008-05-25 09:00:41
639Homotopy theory / Algebraic topology / Hurewicz theorem / Homotopy group / Crossed module / Fundamental group / CW complex / Seifert–van Kampen theorem / Homotopy / Topology / Abstract algebra / Mathematics

Colimit Theorems for Relative Homotopy Groups∗ Ronald Brown† School of Mathematics, University of Wales, Bangor, Dean St., Bangor, Gwynedd LL57 1UT,

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2012-12-14 09:39:55
640Algebraic topology / Homology theory / Hurewicz theorem / Homotopy group / Category theory / Crossed module / Fundamental group / Functor / Seifert–van Kampen theorem / Abstract algebra / Topology / Homotopy theory

HOMOTOPICAL EXCISION, AND HUREWICZ THEOREMS, FOR n-CUBES OF SPACES ∗ Ronald Brown and Jean-Louis Loday Introduction The fact that the relative homotopy groups do not satisfy excision makes the computation of absolute h

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Source URL: pages.bangor.ac.uk

Language: English - Date: 2006-12-24 10:28:00
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