English

Euler Characteristic in Odd Dimensions

Geometric Topology 2013-02-25 v1

Abstract

It is well known that the Euler characteristic of an odd dimensional compact manifold is zero. An Euler complex is a combinatorial analogue of a compact manifold. We present here an elementary proof of the corresponding result for Euler complexes.

Keywords

Cite

@article{arxiv.1302.5588,
  title  = {Euler Characteristic in Odd Dimensions},
  author = {Colin MacLaurin and Guyan Robertson},
  journal= {arXiv preprint arXiv:1302.5588},
  year   = {2013}
}
R2 v1 2026-06-21T23:30:55.223Z