Journal
GEOMETRY & TOPOLOGY
Volume 16, Issue 4, Pages 2391-2426Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
DOI: 10.2140/gt.2012.16.2391
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We study Alexandrov spaces of nonnegative curvature whose boundaries consist of several strata of codimension 1. If the space is compact and the common intersection of all boundary strata is empty, then the space is a metric product. In particular, this is fulfilled if the compact space has dimension n and contains more than n+1 boundary strata. The splitting factors are in general non-flat.
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