RECTIFIABILITY OF FLAT CHAINS IN BANACH SPACES WITH COEFFICIENTS IN Zp

@inproceedings{Ambrosio2009RECTIFIABILITYOF,
title={RECTIFIABILITY OF FLAT CHAINS IN BANACH SPACES WITH COEFFICIENTS IN Zp},
author={Luigi Ambrosio and Stefan Wenger},
year={2009}
}

Aim of this paper is a finer analysis of the group of flat chains with coefficients in Zp introduced in [7], by taking quotients of the group of integer rectifiable currents, along the lines of [27, 15]. We investigate the typical questions of the theory of currents, namely rectifiability of the measure-theoretic support and boundary rectifiability. Our main result can also be interpreted as a closure theorem for the class of integer rectifiable currents with respect to a (much) weaker… CONTINUE READING