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Title: 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, ∂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
Award ID(s):
1906404 1611780
NSF-PAR ID:
10280171
Author(s) / Creator(s):
; ; ; ;
Editor(s):
Liu, Kefeng
Date Published:
Journal Name:
Communications in analysis and geometry
Volume:
29
Issue:
1
ISSN:
1944-9992
Page Range / eLocation ID:
115-149
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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