Liu, Kefeng
(Ed.)
We endow each closed, orientable Alexandrov space (X, d) with an
integral current T of weight equal to 1, ∂T = 0 and set(T) = X, in
other words, we prove that (X, d, T) is an integral current space
with no boundary. Combining this result with a result of Li and
Perales, we show that non-collapsing sequences of these spaces with
uniform lower curvature and diameter bounds admit subsequences
whose Gromov-Hausdorff and intrinsic flat limits agree.
more »
« less
