Elliptic structures on 3-manifolds /:
This volume will give a systematic exposition of known results for free actions by finite groups on S. The text begins with preliminary material on Seifert manifolds and group classification. This is followed by sections dealing with related topics including free bZe/2 and bZe/3 actions on lens/pris...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1986.
|
| Series: | London Mathematical Society lecture note series ;
104. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This volume will give a systematic exposition of known results for free actions by finite groups on S. The text begins with preliminary material on Seifert manifolds and group classification. This is followed by sections dealing with related topics including free bZe/2 and bZe/3 actions on lens/prism manifolds, the reduction theorem and tangential structure. |
| Item Description: | Notes from lectures given at the University of Chicago in Apr. and May 1983. |
| Physical Description: | 1 online resource (122 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 119-121) and index. |
| ISBN: | 9781107361294 110736129X 9780511662591 0511662599 9780511965302 0511965303 |
Staff View
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| 500 | |a Notes from lectures given at the University of Chicago in Apr. and May 1983. | ||
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| 520 | |a This volume will give a systematic exposition of known results for free actions by finite groups on S. The text begins with preliminary material on Seifert manifolds and group classification. This is followed by sections dealing with related topics including free bZe/2 and bZe/3 actions on lens/prism manifolds, the reduction theorem and tangential structure. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; INTRODUCTION; CHAPTER I: SEIFERT MANIFOLDS; THEOREM 1.1; THEOREM 1.2; THEOREM 1.3; LEMMA 1.4; LEMMA 1.5; LEMMA 1.6; LEMMA 1.7; Notes and references; CHAPTER II: GROUPS WITH PERIODIC COHOMOLOGY; LEMMA 2.2; LEMMA 2.3; THEOREM 2.4; THEOREM 2.5; THEOREM 2.6; Notes and references; CHAPTER III: Free C2 and C3 actions on certainSeifert manifolds; THEOREM 3.1; THEOREM 3.2; Removal of the contractible curves in; Removal of triple points; Fibering the orbit space.; THEOREM 3.3; THEOREM 3.4; COROLLARY 3.5; Notes and References; CHAPTER IV: THE REDUCTION THEOREM | |
| 505 | 8 | |a THEOREM 4.1Type III; HYPOTHESIS 4.2; THEOREM 4.3; THEOREM 4.4; Notes and references; CHAPTER V: TANGENTIAL STRUCTURE; LEMMA 5.1; THEOREM 5.2; LEMMA 5.3; PROPOSITION 5.4; THEOREM 5.5; PROPOSITION 5.6; EXAMPLES 1.; THEOREM 5.7; THEOREM 5.8; Notes and references; CHAPTER VI: SL(2,F5).; PROPOSITION 6.1; PROPOSITION 6.2; LEMMA 6.3; LEMMA 6.4; THEOREM 6.5; THEOREM 6.6; Notes and References; CHAPTER VII: FINITE POINCARE COMPLEXES AND HOMOLOGY SPHERES; LEMMA 7.1; LEMMA 7.2; LEMMA 7.3; Notes and References; CHAPTER VIII: W0RKP0INTS; THEOREM 8.1; THEOREM 8.2; THEOREM 8.3; THEOREM 8.4; THEOREM 85 | |
| 505 | 8 | |a APPENDIX:Genus two Heegard decompositions for elliptic manifoldsREFERENCES; Index | |
| 650 | 0 | |a Three-manifolds (Topology) |0 http://id.loc.gov/authorities/subjects/sh85135028 | |
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| contents | Cover; Title; Copyright; Contents; INTRODUCTION; CHAPTER I: SEIFERT MANIFOLDS; THEOREM 1.1; THEOREM 1.2; THEOREM 1.3; LEMMA 1.4; LEMMA 1.5; LEMMA 1.6; LEMMA 1.7; Notes and references; CHAPTER II: GROUPS WITH PERIODIC COHOMOLOGY; LEMMA 2.2; LEMMA 2.3; THEOREM 2.4; THEOREM 2.5; THEOREM 2.6; Notes and references; CHAPTER III: Free C2 and C3 actions on certainSeifert manifolds; THEOREM 3.1; THEOREM 3.2; Removal of the contractible curves in; Removal of triple points; Fibering the orbit space.; THEOREM 3.3; THEOREM 3.4; COROLLARY 3.5; Notes and References; CHAPTER IV: THE REDUCTION THEOREM THEOREM 4.1Type III; HYPOTHESIS 4.2; THEOREM 4.3; THEOREM 4.4; Notes and references; CHAPTER V: TANGENTIAL STRUCTURE; LEMMA 5.1; THEOREM 5.2; LEMMA 5.3; PROPOSITION 5.4; THEOREM 5.5; PROPOSITION 5.6; EXAMPLES 1.; THEOREM 5.7; THEOREM 5.8; Notes and references; CHAPTER VI: SL(2,F5).; PROPOSITION 6.1; PROPOSITION 6.2; LEMMA 6.3; LEMMA 6.4; THEOREM 6.5; THEOREM 6.6; Notes and References; CHAPTER VII: FINITE POINCARE COMPLEXES AND HOMOLOGY SPHERES; LEMMA 7.1; LEMMA 7.2; LEMMA 7.3; Notes and References; CHAPTER VIII: W0RKP0INTS; THEOREM 8.1; THEOREM 8.2; THEOREM 8.3; THEOREM 8.4; THEOREM 85 APPENDIX:Genus two Heegard decompositions for elliptic manifoldsREFERENCES; Index |
| ctrlnum | (OCoLC)839305397 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.223 |
| dewey-search | 514/.223 |
| dewey-sort | 3514 3223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Thomas, C. B. (Charles Benedict) https://id.oclc.org/worldcat/entity/E39PBJxxdCpQHFY7RG84RpCmh3 http://id.loc.gov/authorities/names/n85077087 Elliptic structures on 3-manifolds / C.B. Thomas. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986. 1 online resource (122 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 104 Notes from lectures given at the University of Chicago in Apr. and May 1983. Includes bibliographical references (pages 119-121) and index. Print version record. This volume will give a systematic exposition of known results for free actions by finite groups on S. The text begins with preliminary material on Seifert manifolds and group classification. This is followed by sections dealing with related topics including free bZe/2 and bZe/3 actions on lens/prism manifolds, the reduction theorem and tangential structure. Cover; Title; Copyright; Contents; INTRODUCTION; CHAPTER I: SEIFERT MANIFOLDS; THEOREM 1.1; THEOREM 1.2; THEOREM 1.3; LEMMA 1.4; LEMMA 1.5; LEMMA 1.6; LEMMA 1.7; Notes and references; CHAPTER II: GROUPS WITH PERIODIC COHOMOLOGY; LEMMA 2.2; LEMMA 2.3; THEOREM 2.4; THEOREM 2.5; THEOREM 2.6; Notes and references; CHAPTER III: Free C2 and C3 actions on certainSeifert manifolds; THEOREM 3.1; THEOREM 3.2; Removal of the contractible curves in; Removal of triple points; Fibering the orbit space.; THEOREM 3.3; THEOREM 3.4; COROLLARY 3.5; Notes and References; CHAPTER IV: THE REDUCTION THEOREM THEOREM 4.1Type III; HYPOTHESIS 4.2; THEOREM 4.3; THEOREM 4.4; Notes and references; CHAPTER V: TANGENTIAL STRUCTURE; LEMMA 5.1; THEOREM 5.2; LEMMA 5.3; PROPOSITION 5.4; THEOREM 5.5; PROPOSITION 5.6; EXAMPLES 1.; THEOREM 5.7; THEOREM 5.8; Notes and references; CHAPTER VI: SL(2,F5).; PROPOSITION 6.1; PROPOSITION 6.2; LEMMA 6.3; LEMMA 6.4; THEOREM 6.5; THEOREM 6.6; Notes and References; CHAPTER VII: FINITE POINCARE COMPLEXES AND HOMOLOGY SPHERES; LEMMA 7.1; LEMMA 7.2; LEMMA 7.3; Notes and References; CHAPTER VIII: W0RKP0INTS; THEOREM 8.1; THEOREM 8.2; THEOREM 8.3; THEOREM 8.4; THEOREM 85 APPENDIX:Genus two Heegard decompositions for elliptic manifoldsREFERENCES; Index Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Variétés topologiques à 3 dimensions. MATHEMATICS Topology. bisacsh Three-manifolds (Topology) fast Elliptische Kurve gnd http://d-nb.info/gnd/4014487-2 Variétés topologiques à 3 dimensions. ram Elliptic structures on three-manifolds. has work: Elliptic structures on 3-manifolds (Text) https://id.oclc.org/worldcat/entity/E39PCG9XKQk9ckPVq4J9pHr3pK https://id.oclc.org/worldcat/ontology/hasWork Print version: Thomas, C.B. (Charles Benedict). Elliptic structures on 3-manifolds. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986 052131576X (DLC) 85012742 (OCoLC)12108055 London Mathematical Society lecture note series ; 104. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Thomas, C. B. (Charles Benedict) Elliptic structures on 3-manifolds / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents; INTRODUCTION; CHAPTER I: SEIFERT MANIFOLDS; THEOREM 1.1; THEOREM 1.2; THEOREM 1.3; LEMMA 1.4; LEMMA 1.5; LEMMA 1.6; LEMMA 1.7; Notes and references; CHAPTER II: GROUPS WITH PERIODIC COHOMOLOGY; LEMMA 2.2; LEMMA 2.3; THEOREM 2.4; THEOREM 2.5; THEOREM 2.6; Notes and references; CHAPTER III: Free C2 and C3 actions on certainSeifert manifolds; THEOREM 3.1; THEOREM 3.2; Removal of the contractible curves in; Removal of triple points; Fibering the orbit space.; THEOREM 3.3; THEOREM 3.4; COROLLARY 3.5; Notes and References; CHAPTER IV: THE REDUCTION THEOREM THEOREM 4.1Type III; HYPOTHESIS 4.2; THEOREM 4.3; THEOREM 4.4; Notes and references; CHAPTER V: TANGENTIAL STRUCTURE; LEMMA 5.1; THEOREM 5.2; LEMMA 5.3; PROPOSITION 5.4; THEOREM 5.5; PROPOSITION 5.6; EXAMPLES 1.; THEOREM 5.7; THEOREM 5.8; Notes and references; CHAPTER VI: SL(2,F5).; PROPOSITION 6.1; PROPOSITION 6.2; LEMMA 6.3; LEMMA 6.4; THEOREM 6.5; THEOREM 6.6; Notes and References; CHAPTER VII: FINITE POINCARE COMPLEXES AND HOMOLOGY SPHERES; LEMMA 7.1; LEMMA 7.2; LEMMA 7.3; Notes and References; CHAPTER VIII: W0RKP0INTS; THEOREM 8.1; THEOREM 8.2; THEOREM 8.3; THEOREM 8.4; THEOREM 85 APPENDIX:Genus two Heegard decompositions for elliptic manifoldsREFERENCES; Index Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Variétés topologiques à 3 dimensions. MATHEMATICS Topology. bisacsh Three-manifolds (Topology) fast Elliptische Kurve gnd http://d-nb.info/gnd/4014487-2 Variétés topologiques à 3 dimensions. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85135028 http://d-nb.info/gnd/4014487-2 |
| title | Elliptic structures on 3-manifolds / |
| title_alt | Elliptic structures on three-manifolds. |
| title_auth | Elliptic structures on 3-manifolds / |
| title_exact_search | Elliptic structures on 3-manifolds / |
| title_full | Elliptic structures on 3-manifolds / C.B. Thomas. |
| title_fullStr | Elliptic structures on 3-manifolds / C.B. Thomas. |
| title_full_unstemmed | Elliptic structures on 3-manifolds / C.B. Thomas. |
| title_short | Elliptic structures on 3-manifolds / |
| title_sort | elliptic structures on 3 manifolds |
| topic | Three-manifolds (Topology) http://id.loc.gov/authorities/subjects/sh85135028 Variétés topologiques à 3 dimensions. MATHEMATICS Topology. bisacsh Three-manifolds (Topology) fast Elliptische Kurve gnd http://d-nb.info/gnd/4014487-2 Variétés topologiques à 3 dimensions. ram |
| topic_facet | Three-manifolds (Topology) Variétés topologiques à 3 dimensions. MATHEMATICS Topology. Elliptische Kurve |
| work_keys_str_mv | AT thomascb ellipticstructureson3manifolds |