#### Volume 19, issue 3 (2015)

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Alexandrov spaces with maximal number of extremal points

### Nina Lebedeva

Geometry & Topology 19 (2015) 1493–1521
##### Abstract

We show that any $n$–dimensional nonnegatively curved Alexandrov space with the maximal possible number of extremal points is isometric to a quotient space of ${ℝ}^{n}$ by an action of a crystallographic group. We describe all such actions.

##### Keywords
Alexandrov spaces, extremal subsets, orbifolds
##### Mathematical Subject Classification 2010
Primary: 53C45, 53C45, 20F55
Secondary: 51K10