## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Generalized CAT(0) spaces

#### Abstract

We extend the Gromov geometric definition of CAT(0) spaces to the case where the comparison triangles are not in the Euclidean plane but belong to a general Banach space. In particular, we study the case where the Banach space is $\ell_p$, for $p > 2$.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin Volume 24, Number 3 (2017), 417-426.

Dates
First available in Project Euclid: 27 September 2017