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arXiv · 1910.07433

A new family of triangulations of $\mathbb{R}P^d$

Lorenzo Venturello·Hailun Zheng
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Abstract

We construct a family of PL triangulations of the $d$-dimensional real projective space $\mathbb{R}P^d$ on $Θ((\frac{1+\sqrt{5}}{2})^{d+1})$ vertices for every $d\geq 1$. This improves a construction due to Kühnel on $2^{d+1}-1$ vertices.

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Lorenzo Venturello, Hailun Zheng. 2020-07-03. A new family of triangulations of $\mathbb{R}P^d$. https://arxiv.org/abs/1910.07433

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