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math.MG2022
Rank Rigidity for CAT(0) spaces without 3-flats
Stephan Stadler
If a group acts geometrically on a CAT(0) space without 3-flats, then either contains a -periodic geodesic which does not bound a flat half-plane, or else is a r…
math.MG2022
CAT(0) spaces of higher rank I
Stephan Stadler
A CAT(0) space has rank at least if every geodesic lies in an -flat. Ballmann's Higher Rank Rigidity Conjecture predicts that a CAT(0) space of rank at least with a geom…
math.HO2022
Six proofs of the Fáry--Milnor theorem
Anton Petrunin, Stephan Stadler
We sketch several proofs of Fáry--Milnor theorem.