On a Vertex-Minimal Triangulation of $\mathbb R \mathrm P ^4$

[摘要] We give three constructions of a vertex-minimal triangulation of $4$-dimensional real projective space $\mathbb{R}\mathrm{P}^4$. The first construction describes a $4$-dimensional sphere on $32$ vertices, which is a double cover of a triangulated $\mathbb

[学科分类] 离散数学和组合数学

[关键词] Combinatorial manifolds;Vertex-minimal;Minimal triangulation;Projective space;Witt design