叶状光滑分层
几何拓扑
2014-10-01 v1
摘要
我们证明3-流形M的每一个拓扑曲面分层都同痕于一个具有光滑浸入叶的分层。这实现了Gabai在[Problems in foliations and laminations, AMS/IP Stud. Adv. Math. 2.2 1--33]中提出的方案。因此任一此类分层都容许黎曼曲面分层的结构，从而Candel[Uniformization of surface laminations, Ann. Sci. Ecole Norm. Sup. 26 (1993) 489--516]与Ghys[Dynamique et geometrie complexes, Panoramas et Syntheses 8 (1999)]的有用结构定理得以应用。
引用
@article{arxiv.math/0111119,
title = {Leafwise smoothing laminations},
author = {Danny Calegari},
journal= {arXiv preprint arXiv:math/0111119},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-29.abs.html