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Record Nr. |
UNINA9910788749703321 |
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Autore |
Ōshika Kenʼichi <1961-> |
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Titolo |
Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (136 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 834 |
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Disciplina |
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Soggetti |
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Kleinian groups |
Low-dimensional topology |
Geometry, Hyperbolic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 2005, volume 177, number 834 (second of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 111-113) and index. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.A. Generalities""; ""1.B. Compact cores, ends of hyperbolic 3-manifolds""; ""1.C. Geodesic and measured laminations""; ""1.D. Masur domain""; ""1.E. Pleated surfaces""; ""1.F. Train tracks""; ""1.G. Algebraic and geometric convergence""; ""Chapter 2. Statements of theorems""; ""Chapter 3. Characteristic compression bodies""; ""Chapter 4. The Masur domain and Ahlfors' conjecture""; ""4.A. The main result in this chapter"" |
""4.B. Realization by pleated surfaces for measured laminations on the exterior boundaries of compression bodies""""4.C. Approximation by train tracks""; ""4.D. Realization by pleated surfaces""; ""4.E. A product neighbourhood of the end""; ""Chapter 5. Branched covers and geometric limit""; ""Chapter 6. Non-realizable measured laminations""; ""Chapter 7. Strong convergence of function groups""; ""Chapter 8. Proof of the main theorem""; ""8.A. A special case""; ""8.B. The existence of a homeomorphism""; ""8.C. Lemmata for the proof of Lemma 8.2"" |
""8.D. Proof of Lemma 8.2 and Proposition 8.1""""8.E. Concluding the proof of Theorem 2.1""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""E""; ""G""; ""I""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; |
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