Equi-variant and Stable Finite Decomposition Complexity
Geometric Topology
2015-10-01 v2
Abstract
In this paper, we introduce and study various kinds of decomposition complexity. First, we give a characterization of residually finite groups having finite decomposition complexity (FDC). Secondly, we introduce equi-variant straight FDC (sFDC), and prove that a group having equi-variant sFDC if and only if its box space having sFDC. Finally, we show that elementary amenable groups have equi-variant sFDC by introducing something called stable FDC.
Cite
@article{arxiv.1509.08883,
title = {Equi-variant and Stable Finite Decomposition Complexity},
author = {Jiawen Zhang},
journal= {arXiv preprint arXiv:1509.08883},
year = {2015}
}
Comments
21 pages