Submitted Paper

Inserted: 19 may 2009

Year: 2009

Abstract:

In this paper we study the rectifiability properties of flat chains modulo p in Banach spaces. We prove rectifiability of the so-called slice mass and, under suitable assumption on the ambient space (which cover, for instance, all Hilbert spaces), rectifiability of the mass modulo p, a stronger notion of mass for which isoperimetric inequalities are available.

Keywords: Rectifiability, Flat chains

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• AmbWen.pdf