# 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} }

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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