CAT(0) polygonal complexes are 2 median

A (1-)median space is a space in which for every three points the intersection of the three intervals between them is a unique point.
Having this in mind, in the talk I will define a 2-median space which is a 2 dimensional variation of the median space, explain the title
and present the idea of the proof of the theorem in the title.
This talk is based on my Master Thesis done under the supervision of Nir Lazarovich.