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math.FA2026
Absolutely minimising Lipschitz extensions between Hilbert spaces
Krzysztof J. Ciosmak
Every Lipschitz map from a closed subset of a real Hilbert space into a real Hilbert space has an absolutely minimising Lipschitz extension: an extension whose Lipschitz constant o…
math.MG2026
Measure contraction property on isometric leaves and monotone fibres
Krzysztof J. Ciosmak
For finite measures with positive densities on convex Euclidean supports, we prove that passes with unchanged parameters to almost every isometric leaf of an arbitrary n…