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Results tagged with alexandrov-geometry
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user 73383
Alexandrov geometry studies non smooth analogues of Riemannian manifolds with curvature bounded from below or above. It includes spaces with curvature bounded below (briefly $\mathrm{CBB}[\kappa]$) and spaces with curvature bounded above (briefly $\mathrm{CAT}[\kappa]$).
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Does every CAT(0) space embed in a measurable integral of $\mathbb{R}$-trees?
This is not possible; sorry for just posting a sketch but I am not on MO :-(
For instance a generic geodesic triangle in the hyperbolic plane does not embed in a finite product of trees.
Suppose you h …
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