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 Rectifiability properties of varifolds in $l^{3}_{infty}$ Bull. Korean Math. Soc. 2007 Vol. 44, No. 1, 31-45 Printed March 1, 2007 Peibiao Zhao and Xiaoping Yang Nanjing University of Science and Technology, Nanjing University of Science and Technology Abstract : We prove the following theorem: Given a Varifold $V$ in $l^{3}_{\infty}$ with the property that $0<\lim_{r\to0}\frac{\mu_{V}(C_{r}(x))}{r^{2}}<\infty$ for $\mu_{V}$ a.e. $x\in SptV$, then $V$ is rectifiable. Keywords : Varifolds, tangent measures, rectifiable sets, rectifiable measures MSC numbers : 28A25, 53C10, 49Q15 Downloads: Full-text PDF