MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
95/2019

A new family of triangulations of RPd

Lorenzo Venturello and Hailun Zheng

Abstract

We construct a family of PL triangulations of the d-dimensional real projective space RPd for every d1 on Θ((1+52)d+1) vertices. This improves a construction due to K\"{u}hnel on 2d+11 vertices.

Received:
17.10.19
Published:
20.10.19
MSC Codes:
57Q15, 57R05
Keywords:
Real projective space, PL manifolds, Triangulations

Related publications

inJournal
2021 Repository Open Access
Lorenzo Venturello and Hailun Zheng

A new family of triangulations of RPd

In: Combinatorica, 41 (2021) 1, pp. 127-146