Orientation and symmetries of Alexandrov spaces with applications in positive curvature
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Harvey, J. & Searle, C. J Geom Anal (2017) 27: 1636
We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double covers and a particularly useful version of the Slice Theorem for actions of compact Lie groups. These tools are applied to the classification of compact, positively curved Alexandrov spaces with maximal symmetry rank.
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