Calculus of Variations and Geometric Measure Theory

L. Ambrosio - S. Wenger

Rectifiability of flat chains in Banach spaces with coefficients in $*Z*_p$

created by ambrosio on 19 May 2009


Submitted Paper

Inserted: 19 may 2009

Year: 2009


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