The Kirby torus trick for surfaces

The Kirby torus trick for surfaces cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

The classical theorem that topological surfaces can be triangulated is proved using the torus trick of Kirby plus a few basic facts about smooth or PL surfaces.

Cite this article

Allen Hatcher, The Kirby torus trick for surfaces. Enseign. Math. 72 (2026), no. 1/2, pp. 161–174

DOI 10.4171/LEM/1096