Homotopy equivalences of 3-manifolds with boundaries:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1979
|
| Series: | Lecture notes in mathematics
761 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 303 Seiten |
| ISBN: | 3540097147 0387097147 |
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MARC
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| 100 | 1 | |a Johannson, Klaus |4 aut | |
| 245 | 1 | 0 | |a Homotopy equivalences of 3-manifolds with boundaries |c Klaus Johannson |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1979 | |
| 300 | |a 303 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 761 | |
| 650 | 4 | |a Variétés (Mathématiques) | |
| 650 | 4 | |a Équivalences d'homotopie | |
| 650 | 4 | |a Homotopy equivalences | |
| 650 | 4 | |a Manifolds (Mathematics) | |
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Record in the Search Index
| _version_ | 1809312337981603840 |
|---|---|
| adam_text |
Contents.
Introduction 3
Part I. THE CONCEPTS OF CHARACTERISTIC SUBMANIFOLDS AND
MANIFOLDS WITH BOUNDARY-PATTERNS.
Chapter I; General theory.
SI. Definitions 19
§2. Useful boundary-patterns 22
§3. Essential maps 27
§4. Essential surfaces and useful boundary-patterns 32
Chapter II; Essential singular surfaces in some special
3-manifolds.
§5. I-bundles and Seifert fibre spaces 47
§6. Stallings manifolds 65
§7. Generalized Seifert fibre spaces 80
Chapter III: Characteristic submanifolds.
§8. Definition of a characteristic subraanifold 83
§9. Existence of a characteristic submanifold 86
§10. Uniqueness of the characteristic submanifold 90
Part II. THE ENCLOSING THEOREM.
Chapter IV: Singular surfaces and characteristic
submanifolds.
811. A lemma on essential intersections 104
§12. Proof of the enclosing theorem 109
Chapter V; Singular submanifolds and characteristic
submanifolds.
S13. An extension of the enclosing theorem 120
§14. Homotopy equivalences between 3-manifolds with 123
torus boundaries
Part III. THE SPLITTING THEOREMS.
Chapter VI: Invariance of the characteristic submanifolds
under homotopy equivalences.
S15. The preimage of an essential F-manifold 135
816. Singular characteristic submanifolds 147
§17. The preimage of the characteristic submanifold 151
§18. Splitting a homotopy at the characteristic 155
submanifold
Chapter VII: Simple 3-manifolds.
§19. Isotopic surfaces in simple 3-manifolds 159
§20. Splitting a homotopy equivalence at a surface 165
§21. Splitting a homotopy at a surface 170
Part IV. THE CONCLUSION OF THE PROOF OF THE CLASSIFICATION
THEOREM.
Chapter VIII: Attaching homotopv equivalences.
§22. The induction beginning 174
§23. The induction step I77
§24. The classification theorem 181
Part V. LOCAL CONSTRUCTIONS FOR HOMOTOPY EQUIVALENCES.
Chapter IX; Dehn twists of 3-manifolds.
§25. On the mapping class group of Seifert fibre 188
spaces
§26. Homeomorphisms of I-bundles 205
§27. On the mapping class group of 3-manifolds 213
Chapter X: Dehn flips of 3-manifolds.
§28. Geometric obstructions for homotopy equivalences 227
§29. On the homotopy type of 3-manifolds and the 243
isomorphism problem for 3-manifold groups
Part VT. APPENDIX.
Chapter XI: Homotopy equivalences of surfaces and
I-bundles
§30. Homotopy equivalences of surfaces 251
§31. Homotopy equivalences of product I-bundles 274
Chapter XII: Geometric properties of 3-manifold groups.
§32. The influence of exceptional curves on 3-manifold 280
groups
References 297
Index 301 |
| any_adam_object | 1 |
| author | Johannson, Klaus |
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| dewey-search | 514/.2 510/.8 |
| dewey-sort | 3514 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003608586 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-05T00:05:06Z |
| institution | BVB |
| isbn | 3540097147 0387097147 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002298174 |
| oclc_num | 5612366 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-473 DE-BY-UBG DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-706 DE-83 DE-188 DE-11 |
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| physical | 303 Seiten |
| psigel | TUB-nveb |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Johannson, Klaus aut Homotopy equivalences of 3-manifolds with boundaries Klaus Johannson Berlin, [u.a.] Springer 1979 303 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 761 Variétés (Mathématiques) Équivalences d'homotopie Homotopy equivalences Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Homotopieäquivalenz (DE-588)4160618-8 gnd rswk-swf Homotopieäquivalenz (DE-588)4160618-8 s DE-604 Mannigfaltigkeit (DE-588)4037379-4 s Erscheint auch als Online-Ausgabe 978-3-540-38486-1 Lecture notes in mathematics 761 (DE-604)BV000676446 761 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002298174&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johannson, Klaus Homotopy equivalences of 3-manifolds with boundaries Lecture notes in mathematics Variétés (Mathématiques) Équivalences d'homotopie Homotopy equivalences Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd Homotopieäquivalenz (DE-588)4160618-8 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4160618-8 |
| title | Homotopy equivalences of 3-manifolds with boundaries |
| title_auth | Homotopy equivalences of 3-manifolds with boundaries |
| title_exact_search | Homotopy equivalences of 3-manifolds with boundaries |
| title_full | Homotopy equivalences of 3-manifolds with boundaries Klaus Johannson |
| title_fullStr | Homotopy equivalences of 3-manifolds with boundaries Klaus Johannson |
| title_full_unstemmed | Homotopy equivalences of 3-manifolds with boundaries Klaus Johannson |
| title_short | Homotopy equivalences of 3-manifolds with boundaries |
| title_sort | homotopy equivalences of 3 manifolds with boundaries |
| topic | Variétés (Mathématiques) Équivalences d'homotopie Homotopy equivalences Manifolds (Mathematics) Mannigfaltigkeit (DE-588)4037379-4 gnd Homotopieäquivalenz (DE-588)4160618-8 gnd |
| topic_facet | Variétés (Mathématiques) Équivalences d'homotopie Homotopy equivalences Manifolds (Mathematics) Mannigfaltigkeit Homotopieäquivalenz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002298174&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT johannsonklaus homotopyequivalencesof3manifoldswithboundaries |