中文

外空间边界化的一个简单构造

群论 2018-04-04 v2

摘要

我们给出外空间的一个等变形变收缩的简单构造,该收缩同胚于 Bestvina-Feighn 边界化。这给出了边界化在无穷远处是 (2n-5)-连通的远为简单的证明,并进而表明 Out(Fn)Out(F_n) 是一个虚对偶群。

关键词

引用

@article{arxiv.1709.01296,
  title  = {On the bordification of outer space},
  author = {Kai-Uwe Bux and Peter Smillie and Karen Vogtmann},
  journal= {arXiv preprint arXiv:1709.01296},
  year   = {2018}
}

备注

Accepted version, to appear in the Journal of the London MS. Section 7, giving the homeomorphism to the Bestvina-Feighn bordification, has been substantially revised