Tits geometry on ideal boundaries of Busemann non-positively curved space

Mathematics – Metric Geometry

Scientific paper

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Scientific paper

Let $X$ be a non-compact proper Busemann space. We introduce a collection of
binary relations on its ideal boundaries generalizing comparison of Tits metric
with two key values $\pi$ and $\pi/2$. This allows to use properties of Tits
metric known for CAT(0)-space without metric itself.

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