geometry-topology / Combinatorial topology
How few vertices can a triangulation of $\mathbb{RP}^5$ have? The paper presents a 6-dimensional centrally symmetric simplicial polytope whose antipodal boundary quotient gives a 24-vertex triangulation, far below previous constructions in the Adiprasito-Avvakumov-Karasev line.
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A record, not an endpoint: whether fewer vertices suffice is posed as an open question in the same paper.
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How few vertices can a triangulation of $\mathbb{RP}^5$ have? The paper presents a 6-dimensional centrally symmetric simplicial polytope whose antipodal boundary quotient gives a 24-vertex triangulation, far below previous constructions in the Adiprasito-Avvakumov-Karasev line.
A record, not an endpoint: whether fewer vertices suffice is posed as an open question in the same paper.
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