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.
Rectifiability of flat chains in Banach spaces with coefficients in Z_p
AMBROSIO, Luigi;
2011
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.File in questo prodotto:
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