Homotopy group

Results: 381



#Item
211Homotopy theory / Homological algebra / Homology theory / Topological spaces / Homotopy / Singular homology / CW complex / Contractible space / Homology / Topology / Abstract algebra / Algebraic topology

(September 14, [removed]Geometric homology versus group homology Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ The goal here is to recover a family of assertions of the form

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Source URL: www.math.umn.edu

Language: English - Date: 2005-09-14 15:16:30
212Abstract algebra / Covering space / Topological graph theory / Fundamental group / Topology / Algebraic topology / Homotopy theory

SUBMULTIPLICATIVITY AND THE HANNA NEUMANN CONJECTURE IGOR MINEYEV Abstract. We define submultiplicativity of `2 -numbers in the category of Γ-complexes over ˆ which generalizes the statement of the Strengthened Hanna N

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Source URL: www.math.uiuc.edu

Language: English - Date: 2011-10-24 00:06:12
213Group theory / Algebraic topology / Fundamental group / Homotopy theory / Hanna Neumann conjecture / Abstract algebra / Geometric group theory / Algebra

THE TOPOLOGY AND ANALYSIS OF THE HANNA NEUMANN CONJECTURE IGOR MINEYEV Abstract. The statement of the Hanna Neumann Conjecture (HNC) is purely algebraic: for a free group Γ and any nontrivial finitely generated subgroup

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Source URL: www.math.uiuc.edu

Language: English - Date: 2011-05-23 14:52:57
214Algebraic topology / Topological spaces / Contractible space / Topological manifold / Fundamental group / Homotopy / Manifold / CW complex / Cohomological dimension / Topology / Geometric topology / Homotopy theory

Abstracts of talks presented at the 19th Annual Workshop in Geometric Topology June 13–15, 2002 Distinguishing Croke-Kleiner Boundaries

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Source URL: www.calvin.edu

Language: English - Date: 2002-06-04 10:58:09
215Group 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
216Category 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
217Homotopy 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
218Homotopy 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
219Homotopy 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
220Algebraic 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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