8 citations · 8 across the 1 of their papers we have counts for
2 papers
math.DG2019★ 8 cited
Alexandrov geometry: foundations
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms replace certain equalities with inequalities. Depending on the signs of the inequal…
math.DG2017
An invitation to Alexandrov geometry: CAT(0) spaces
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Our goal is to show the beauty and power of Alexandrov geometry by reaching interesting applications and theorems with a minimum of preparation. The topics include 1. Reshetnyak's…