5-point CAT(0) spaces after Tetsu Toyoda

TL;DR

This paper provides an alternative proof of Toyoda's theorem, which characterizes 5-point subspaces within CAT(0) length spaces, enhancing understanding of their geometric structure.

Contribution

The paper introduces a new proof technique for Toyoda's theorem, offering fresh insights into the structure of 5-point subspaces in CAT(0) spaces.

Findings

Alternative proof of Toyoda's theorem

Characterization of 5-point subspaces in CAT(0) spaces

Enhanced understanding of geometric structures

Abstract

We give another proof of Toyoda's theorem that describes 5-point subpaces in CAT(0) length spaces