A new family of triangulations of ℝP_d

Lorenzo Venturello and Hailun Zheng

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Submission date: 17. Oct. 2019
Bibtex
MSC-Numbers: 57Q15, 57R05
Keywords and phrases: Real projective space, PL manifolds, Triangulations
Link to arXiv: See the arXiv entry of this preprint.

Abstract:
We construct a family of PL triangulations of the d-dimensional real projective space ℝP^d for every d ≥ 1 on Θ(()^d+1) vertices. This improves a construction due to Kühnel on 2^d+1 − 1 vertices.