A non-compact convex hull in generalized non-positive curvature
A non-compact convex hull in generalized non-positive curvature
Abstract Gromov’s (open) question whether the closed convex hull of finitely many points in a complete $${{\,\textrm{CAT}\,}}(0)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mspace/> <mml:mtext>CAT</mml:mtext> <mml:mspace/> </mml:mrow> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> space is compact naturally extends to weaker notions of non-positive curvature in metric spaces. In this article, we consider metric …