0000000000714057

AUTHOR

Elia Brué

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Rectifiability of RCD(K,N) spaces via δ-splitting maps

2021

In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda. peerReviewed

Pure mathematicsTangent coneOrder (ring theory)Differential calculusRCD spaceArticlesMathematical proofmetriset avaruudetMeasure (mathematics)matemaattinen analyysidifferentiaaligeometriaConvergence (routing)Metric (mathematics)Mathematics::Metric GeometryRectifiabilityEssential dimensionMathematicstangent cone
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