中文

论曲线复形的渐近维数

几何拓扑 2019-10-23 v2 群论

摘要

我们给出了曲线复形的渐近维数以及末端层空间的容量维数关于曲面复杂度的线性界限。

关键词

引用

@article{arxiv.1508.04832,
  title  = {On the asymptotic dimension of the curve complex},
  author = {Mladen Bestvina and Ken Bromberg},
  journal= {arXiv preprint arXiv:1508.04832},
  year   = {2019}
}

备注

The main change in this version is that in a number of the lemmas on train tracks the tracks are no longer assumed to be recurrent. This led to a significant revision of section 3 of the paper. To appear in Geometry and Topology