A new family of triangulations of ℝP^d

2019/10/16 by Lorenzo Venturello, Venturello, Lorenzo, Hailun Zheng +1
Computer Science · Mathematics · #57Q15 #57R05 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra and Its Applications #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.1910.07433

openalex publication_date 2019/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a family of PL triangulations of the d-dimensional real projective space ℝP^d on Θ(((1+√(5))/(2))^d+1) vertices for every d≥ 1. This improves a construction due to Kühnel on 2^d+1-1 vertices.

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