Published Paper
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Inserted: 28 jun 2011
Last Updated: 9 nov 2026
Journal: J. Funct. Anal.
Volume: 263
Number: 11
Pages: 3358--3390
Year: 2012
Doi: 10.1016/j.jfa.2012.08.009
Abstract:
We prove that every acyclic normal one-dimensional real Ambrosio-Kirchheim current in a Polish (i.e. complete separable metric) space can be decomposed in curves, thus generalizing the analogous classical result proven by S. Smirnov in Euclidean space setting. The same assertion is true for every complete metric space under a suitable set-theoretic assumption.
Keywords: currents, metric, decomposition
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