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math.MG2019
On one-dimensionality of metric measure spaces
Timo Schultz
In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists f…
math.MG2019★ 1 cited
Equivalent definitions of very strict -spaces
Timo Schultz
We show the equivalence of the definitions of very strict -condition defined, on one hand, using (only) the entropy functionals, and on the other, the full displacement c…