Menger curvature and rectifiability in metric spaces
Immo Hahlomaa
所有作者
Immo Hahlomaa
文献摘要
We show that for any metric space X the condition ∫X∫X∫Xc(z1,z2,z3)2d\Hmz1d\Hmz2d\Hmz3<∞, where
c(z1,z2,z3) is the Menger curvature of the triple (z1,z2,z3),
guarantees that X is rectifiable.