Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alexandrov Spaces with Integral Current Structure   We endow each closed, orientable Alexandrov space $(X, d)$ with an integral
current $T$ of weight equal to 1, $\partial T = 0 and \set(T) = X$, 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.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph