Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590611 | Journal of Functional Analysis | 2012 | 33 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory