Bounding Topology via Geometry, $A$-Simple Fundamental Groups

Authors

  • Xiaochun Rong
  • Xuchao Yao

DOI:

https://doi.org/10.4208/cmr.2020-0030

Keywords:

$A$-simple fundamental group, collapsing with bounded sectional curvature, finiteness of fundamental groups and diffeomorphic types.

Abstract

We call a group $A$-simple, if it has no non-trivial normal abelian sub-group. We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are $A$-simple.

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Published

2020-11-02

Issue

Vol. 36 No. 4 (2020)

Section

Articles