Calculus of Variations and Geometric Measure Theory

L. Ambrosio - F. Ghiraldin

Flat chains with finite size in metric spaces

created by ambrosio on 22 Dec 2011
modified by ghiraldin on 26 Jan 2013


Published Paper

Inserted: 22 dec 2011
Last Updated: 26 jan 2013

Journal: Ann. Inst. H. Poincaré Anal. Non Linéaire
Year: 2012
Doi: 10.1016/j.anihpc.2012.06.002


In this paper we extend the rectifiability results available for integral currents and for the lowest dimensional part of flat chains with finite mass to flat chains of possibly infinite mass. We provide a suitable notion of size in this context and prove rectifiability and lower semicontinuity of size.

Tags: GeMeThNES
Keywords: Flat chains, metric spaces, Size