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...
Gespeichert in:
| Körperschaft: | |
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| Weitere Verfasser: | , |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1982.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
48. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (246 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781107361089 1107361087 |
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| 245 | 1 | 0 | |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. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1982. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 48 | |
| 504 | |a Includes bibliographical references. | ||
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| 520 | |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. | ||
| 505 | 0 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 650 | 0 | |a Low-dimensional topology |v Congresses. | |
| 650 | 0 | |a Low-dimensional topology |x Congresses. | |
| 650 | 0 | |a Manifolds (Mathematics) |x Congresses. | |
| 650 | 6 | |a Topologie de basse dimension |x Congrès. | |
| 650 | 6 | |a Nud, Théorie du |x Congrès. | |
| 650 | 6 | |a Variétés (Mathématiques) |x Congrès. | |
| 650 | 6 | |a Topologie de basse dimension |v Congrès. | |
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| contents | 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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| discipline | Mathematik |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Conference on Topology in Low Dimension (1979 : Bangor, Wales) http://id.loc.gov/authorities/names/n81032030 Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / edited by R. Brown and T.L. Thickstun. Cambridge ; New York : Cambridge University Press, 1982. 1 online resource (246 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 48 Includes bibliographical references. Print version record. 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. 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 Low-dimensional topology Congresses. Manifolds (Mathematics) Congresses. Topologie de basse dimension Congrès. Nud, Théorie du Congrès. Variétés (Mathématiques) Congrès. MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Low-dimensional topology fast Manifolds. gtt Espaces topologiques. ram Conference papers and proceedings fast Brown, Ronald, 1935- https://id.oclc.org/worldcat/entity/E39PBJwMHKX3GrDxxcmbHYDTHC http://id.loc.gov/authorities/names/n81029750 Thickstun, T. L. (Thomas Lusk), 1946- https://id.oclc.org/worldcat/entity/E39PCjxFpPPJhmwvRY9XhTj7pd http://id.loc.gov/authorities/names/n88154066 Print version: Conference on Topology in Low Dimension (1979 : Bangor, Wales). Low-dimensional topology. Cambridge ; New York : Cambridge University Press, 1982 0521281466 (DLC) 81002664 (OCoLC)7461977 London Mathematical Society lecture note series ; 48. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552506 Volltext |
| spellingShingle | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / London Mathematical Society lecture note series ; 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 Low-dimensional topology Congresses. Manifolds (Mathematics) Congresses. Topologie de basse dimension Congrès. Nud, Théorie du Congrès. Variétés (Mathématiques) Congrès. MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Low-dimensional topology fast Manifolds. gtt Espaces topologiques. ram |
| title | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / |
| title_auth | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / |
| title_exact_search | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / |
| title_full | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / edited by R. Brown and T.L. Thickstun. |
| title_fullStr | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / edited by R. Brown and T.L. Thickstun. |
| title_full_unstemmed | Low-dimensional topology : proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / edited by R. Brown and T.L. Thickstun. |
| title_short | Low-dimensional topology : |
| title_sort | low dimensional topology proceedings of the conference on topology in low dimension bangor 1979 |
| title_sub | proceedings of the Conference on Topology in Low Dimension, Bangor, 1979 / |
| topic | Low-dimensional topology Congresses. Manifolds (Mathematics) Congresses. Topologie de basse dimension Congrès. Nud, Théorie du Congrès. Variétés (Mathématiques) Congrès. MATHEMATICS Topology. bisacsh Manifolds (Mathematics) fast Low-dimensional topology fast Manifolds. gtt Espaces topologiques. ram |
| topic_facet | Low-dimensional topology Congresses. Manifolds (Mathematics) Congresses. Topologie de basse dimension Congrès. Nud, Théorie du Congrès. Variétés (Mathématiques) Congrès. MATHEMATICS Topology. Manifolds (Mathematics) Low-dimensional topology Manifolds. Espaces topologiques. Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552506 |
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