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A new family of triangulations of $\mathbb{R}P^d$
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math.COmath.GT
keywords
familymathbbtriangulationsverticesconstructconstructiondimensionalevery
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abstract
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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