4 citations · 7 across the 4 of their papers we have counts for
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math.MG2007
Non-positive curvature and the Ptolemy inequality
Thomas Foertsch, Alexander Lytchak, Viktor Schroeder
We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric…
math.MG2004★ 1 cited
Centers of convex subsets of buildings
Andreas Balser, Alexander Lytchak
We prove that two dimensional convex subsets of spherical buildings are either buildings or have a center.
math.MG2004★ 2 cited
Building-like spaces
Andreas Balser, Alexander Lytchak
We study convex subsets of buildings, discuss some structural features and derive several characterizations of buildings.