Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 /

This volume consists of the proceedings of a conference held at the University College of North Wales (Bangor) in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Conference on Topology in Low Dimension Bangor, Wales
Otros Autores: Brown, Ronald, 1935-, Thickstun, T. L. (Thomas Lusk), 1946-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1982.
Colección:London Mathematical Society lecture note series ; 48.
Temas:
Low-dimensional topology > Congresses.
Manifolds (Mathematics) > Congresses.
Topologie de basse dimension > Congrès.
Nœud, Théorie du > Congrès.
Variétés (Mathématiques) > Congrès.
MATHEMATICS > Topology.
Manifolds (Mathematics)
Low-dimensional topology
Manifolds.
Espaces topologiques.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title; Copyright; Contents; Dedication; Acknowledgements; Preface; Addresses of contributors; Part 1: 3-manifolds; The classification of compact 3-manifolds; REFERENCES; Hyperbolic geometry and 3-manifolds; REFERENCES; Sewing-up link exteriors; Abstract; 1. The construction; 2. Algebra; 3. Homology handles; 4. Homology spheres; 5. Property R; 6. Fibred knots; 7. Cobordisms; 8. Questions; REFERENCES; Periodic transformations in homology 3-spheres and the Rohlin invariant; 1. Introduction; 2. Preliminary Definitions and Constructions.; 3. Proof of the Lemma; REFERENCES
  • Part 2: Knot theoryThe universal abelian cover of a link; 1. Introduction; 2. The Algorithm; 3. Homology of the cover; 4. Cobordism Invariance of Signature; REFERENCES; Levine's theorem
  • a remark; REFERENCES; The factorisation of knots; 0. Introduction; 1. The classical case; 2. Finite Factorisation in Higher Dimensions; 3. Non-unique Factorisation for 3-knots; 4. Some Unique Factorisation; 6. Stop Press; References; Seven excellent knots; 1. The basic setup; 2. The formalism for 2-bridge knots; 3. Three 2-bridge knots; 3(a) The knot 52; 3(b) The knot 77; 4. Conjectures for 2-bridge knots
  • 5. Three bridge knots5(a) The knot 821; 5(b) The knot 943; 5(c) The knot 935; REFERENCES; Part 3: Two-dimensional homotopy theory; Identities among relations; Introduction; 1. Presentations and identities; 2. Pre-crossed and crossed modules; 3. Free Crossed modules; 4. The Associated chain complex; 5. Relation with 2-dimensional CW-complexes; 6. Peiffer transformations; 7. Aspherical 2-complexes and aspherical presentations; 8. The identity property; 9 . Examples and an unsettled problem of J.H.C. Whitehead.; REFERENCES
  • On Peiffer transformations, link diagrams and a question of J.H.C. WhiteheadIntroduction; 1. A Peiffer trivial identity sequence which does not collapse.; 2. On Peiffer transformations, and link diagrams.; Higher-dimensional group theory; 1. Introduction; 2. The fundamental groupoid; 3. Proof of Theorem 1; 4. Double groupoids; 5. Thin elements; 6. Interpretation; 7. Still higher dimensions; 8. Crossed complexes; REFERENCES; Part 4: 4-manifolds; Actions of compact connected groups on 4-manifolds; 1. Introduction; 2. Equivariant classification.; 3. Topological classification.; REFERENCES

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