- Bib ID:
- 3283978
- Format:
- Book and Microform
- Author:
- Evans, Richard Allen
- Description:
- 134 p.
- ISBN:
- 0599679980
- Summary:
-
We study the deformation space of hyperbolic 3-manifolds homotopy equivalent to a fixed hyperbolizable, compact, orientable, irreducible 3-manifold. In particular we study sequences within this deformation space. Jorgensen conjectured that if there are no 'new' parabolics in the algebraic limit of a sequence then sequence will converge strongly (i.e. also converge geometrically). We verify this conjecture except in the case that the algebraic limit is a non-trivial free product of cyclic groups and surface groups and the domain of discontinuity of the algebraic limit is empty. Our second result shows that a weakly type-preserving strong limit of topologically tame hyperbolic 3-manifolds is itself topologically tame. Together with our first result we can then weaken the hypotheses to algebraic convergence of the sequence to conclude that tameness persists, with the same exceptional case as the first result.
- Notes:
-
- (UnM)AAI9963777
- Source: Dissertation Abstracts International, Volume: 61-02, Section: B, page: 0882.
- Chair: Richard Canary.
- Thesis (Ph.D.)--University of Michigan, 2000.
- Reproduction:
- Microfiche. Ann Arbor, Mich.: University Microfilms International.
- Subject:
- Mathematics
- Other authors/contributors:
- University of Michigan
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Unpublished
- Creation date:
- 2000
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