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From volume cone to metric cone in the nonsmooth setting

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arxiv 1512.03113 v1 pith:UAE6NAQ6 submitted 2015-12-09 math.DG

classification math.DG
keywords conespacesmetricsettingvolumecheeger-coldingclassgeneralising
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We prove that `volume cone implies metric cone' in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger-Colding valid in Ricci-limit spaces.

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