14 citations · 69 across the 29 of their papers we have counts for
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math.GR2003
Tits boundary of CAT(0) 2-complexes
Xiangdong Xie
We investigate the Tits boundary of locally compact CAT(0) 2-complexes. In particular we show that away from the endpoints, a geodesic segment in the Tits boundary is the ideal bou…
math.GR2003★ 2 cited
Tits alternative for closed real analytic 4-manifolds of nonpositive curvature
Xiangdong Xie
We study subgroups of fundamental groups of real analytic closed 4-manifolds with nonpositive sectional curvature. In particular, we are interested in the following question: if a…
math.GR2003★ 2 cited
Groups acting on CAT(0) square complexes
Xiangdong Xie
We study groups acting on CAT(0) square complexes. In particular we show if Y is a nonpositively curved (in the sense of A. D. Alexandrov) finite square complex and the vertex link…