English

A subexponential size triangulation of $\mathbb{R}P^n$

Combinatorics 2021-08-26 v2 Geometric Topology

Abstract

We address a long-standing and long-investigated problem in combinatorial topology, and break the exponential barrier for triangulations of real projective space, constructing a trianglation of RPn\mathbb{RP}^n of size e(12+o(1))nlogne^{(\frac{1}{2}+o(1))\sqrt{n}{\log n}}.

Keywords

Cite

@article{arxiv.2009.02703,
  title  = {A subexponential size triangulation of $\mathbb{R}P^n$},
  author = {Karim Adiprasito and Sergey Avvakumov and Roman Karasev},
  journal= {arXiv preprint arXiv:2009.02703},
  year   = {2021}
}
R2 v1 2026-06-23T18:20:34.254Z