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arxiv: 1910.07433 · v2 · pith:UA53BE3H · submitted 2019-10-16 · math.CO · math.GT

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

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classification math.CO math.GT
keywords familymathbbtriangulationsverticesconstructconstructiondimensionalevery
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We construct a family of PL triangulations of the $d$-dimensional real projective space $\mathbb{R}P^d$ on $\Theta((\frac{1+\sqrt{5}}{2})^{d+1})$ vertices for every $d\geq 1$. This improves a construction due to K\"{u}hnel on $2^{d+1}-1$ vertices.

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