Published Paper
Inserted: 16 nov 2007
Last Updated: 11 oct 2010
Journal: J. Math. Sciences (N.Y.)
Volume: 167
Number: 3
Pages: 406-417
Year: 2010
Notes:
(preprint 2007)
Abstract:
It is proven that every real flat chain $T$ of finite mass in a metric space $E$, the density character of which is Ulam number (in particular, in a separable metric space), is rectifiable when $*M*^\alpha(T)<+\infty$ for some $\alpha\in [0,1)$, where $*M*^\alpha(T)$ stands for the $\alpha$-mass of $T$.
Keywords: flat chain, fractional mass, $\alpha$-mass, metric current
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