Journal article
Geometric finiteness in large families in dimension 3
Topology (Oxford), Vol.40(4), pp.727-737
2001
DOI: 10.1016/S0040-9383(99)00080-4
Abstract
We prove a diffeomorphism type finiteness theorem in dimension 3 for families C covered by finitely many distance-like functions with bounded twist. C contains families of bounded isoembolic volume and twist. However, the subfamilies of C with fixed volume are not Hausdorff precompact. Our methods do not involve Hausdorff limits and they yield explicit estimates on upper bounds for the number of diffeomorphism types.
Details
- Title: Subtitle
- Geometric finiteness in large families in dimension 3
- Creators
- Oguz C Durumeric - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Topology (Oxford), Vol.40(4), pp.727-737
- DOI
- 10.1016/S0040-9383(99)00080-4
- ISSN
- 0040-9383
- eISSN
- 1879-3215
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 2001
- Academic Unit
- Mathematics
- Record Identifier
- 9983985803902771
Metrics
17 Record Views