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|a QA612.14
|b .C66 1979eb
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|a UAMI
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|a Conference on Topology in Low Dimension
|d (1979 :
|c Bangor, Wales)
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|a Low-dimensional topology :
|b proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 /
|c edited by R. Brown and T.L. Thickstun.
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 1982.
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|a 1 online resource (246 pages) :
|b illustrations
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|a text
|b txt
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a London Mathematical Society lecture note series ;
|v 48
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|a Includes bibliographical references.
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|a Print version record.
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|a 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 themes. The inclusion of surveys of work in these areas should make the book very useful to students as well as researchers.
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|a 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
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|a 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
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|a 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
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|a 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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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a Low-dimensional topology
|v Congresses.
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|a Low-dimensional topology
|x Congresses.
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|a Manifolds (Mathematics)
|x Congresses.
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|a Topologie de basse dimension
|x Congrès.
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|a Nœud, Théorie du
|x Congrès.
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|a Variétés (Mathématiques)
|x Congrès.
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|a Topologie de basse dimension
|v Congrès.
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|a MATHEMATICS
|x Topology.
|2 bisacsh
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|a Manifolds (Mathematics)
|2 fast
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|a Low-dimensional topology
|2 fast
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|a Manifolds.
|2 gtt
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|a Espaces topologiques.
|2 ram
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|a Conference papers and proceedings
|2 fast
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|a Brown, Ronald,
|d 1935-
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|a Thickstun, T. L.
|q (Thomas Lusk),
|d 1946-
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|i Print version:
|a Conference on Topology in Low Dimension (1979 : Bangor, Wales).
|t Low-dimensional topology.
|d Cambridge ; New York : Cambridge University Press, 1982
|z 0521281466
|w (DLC) 81002664
|w (OCoLC)7461977
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|a London Mathematical Society lecture note series ;
|v 48.
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