Generalized Group Presentation and Formal Deformations of CW Complexes

DOI10.2307/2154471zbMath0764.57012OpenAlexW4250161553MaRDI QIDQ4032463

Richard A. Brown

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2154471

zbMATH Keywords

identitiesgeneratorsformal deformationrelators3-complexequivalence by 3-deformationsPeiffer's \(\Sigma\)-systemsseveral free facessimple-homotopy equivalence

Mathematics Subject Classification ID

General topology of complexes (57Q05) Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)

Related Items (2)

Unnamed Item ⋮ The fundamental crossed module of the complement of a knotted surface

Cites Work

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• Free Heegaard diagrams and extended Nielsen transformations. I
• Colimit theorems for relative homotopy groups
• Groups of order 1. Some properties of presentations
• Completely regular mappings
• On the Second Relative Homotopy Group of an Adjunction Space: An Exposition of a Theorem of J. H. C. Whitehead
• Free and Projective Crossed Modules
• Group Presentations and Formal Deformations
• Free Groups and Handlebodies
• Formal Deformations
• Combinatorial homotopy. II

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