Published October 18, 2001
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Leafwise smoothing laminations
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Abstract
We show that every topological surface lamination of a 3-manifold M is isotopic to one with smoothly immersed leaves. This carries out a project proposed by Gabai in [Problems in foliations and laminations, AMS/IP Stud. Adv. Math. 2.2 1--33]. Consequently any such lamination admits the structure of a Riemann surface lamination, and therefore useful structure theorems of Candel [Uniformization of surface laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516] and Ghys [Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)] apply.
Additional Information
Submitted: 17 May 2001. (Revised: 15 August 2001.) Accepted: 11 October 2001. Published: 18 October 2001. arXiv:math.GT/0111119Files
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- Eprint ID
- 1216
- Resolver ID
- CaltechAUTHORS:CALagt01
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2006-01-05Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field