Limits of (certain) CAT(0) groups, I: Compactification

@article{Groves2004LimitsO,
  title={Limits of (certain) CAT(0) groups, I: Compactification},
  author={Daniel P. Groves},
  journal={Algebraic \& Geometric Topology},
  year={2004},
  volume={5},
  pages={1325-1364}
}
  • D. Groves
  • Published 23 April 2004
  • Mathematics
  • Algebraic & Geometric Topology
The purpose of this paper is to investigate torsion-free groups which act properly and cocompactly on CAT(0) metric spaces which have isolated flats, as defined by Hruska [18]. Our approach is to seek results analogous to those of Sela, Kharlampovich and Miasnikov for free groups and to those of Sela (and Rips and Sela) for torsion-free hyperbolic groups. This paper is the first in a series. In this paper we extract an R-tree from an asymptotic cone of certain CAT(0) spaces. This is… 
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