Decomposition of acyclic normal currents in a metric space
By E. Paolini, Eugene O. Stepanov. 2012
59 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/87efd8ea89daa9482a74a14966155f50ee6d4cc2
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients (2015, background): “in spaces of càdlàg paths, or Smirnov’s decomposition of 1-currents [30] (see also [27] for an alternative approach, valid also in the case of metric currents).”