Thurston's Bounded image theorem
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910675406684160 |
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| author | Lecuire, Cyril Ohshika, Ken'ichi |
| author_facet | Lecuire, Cyril Ohshika, Ken'ichi |
| contents | Thurston's bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has been known up to today, although a proof of its weaker version, called the bounded orbit theorem is known. In this paper, we give a proof of the original bounded image theorem, relying on recent development of Kleinian group theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_05023 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Thurston's Bounded image theorem Lecuire, Cyril Ohshika, Ken'ichi Geometric Topology 57K32, 30F40 Thurston's bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has been known up to today, although a proof of its weaker version, called the bounded orbit theorem is known. In this paper, we give a proof of the original bounded image theorem, relying on recent development of Kleinian group theory. |
| title | Thurston's Bounded image theorem |
| topic | Geometric Topology 57K32, 30F40 |
| url | https://arxiv.org/abs/2209.05023 |