English

Classification of compact real surfaces: a quick proof

Algebraic Topology 2012-04-26 v1

Abstract

The aim of this note is to give a quick algebraic proof of (the combinatorial part of) the classification theorem for compact real surfaces, whose classical proofs (as in the Massey book and in the Conway ZIP proof) are based on surgery (and pictures) and look more intricate.

Keywords

Cite

@article{arxiv.1204.5658,
  title  = {Classification of compact real surfaces: a quick proof},
  author = {Maurizio Cailotto},
  journal= {arXiv preprint arXiv:1204.5658},
  year   = {2012}
}
R2 v1 2026-06-21T20:54:36.068Z