论文标题
在旗杆上有很少的赤道
On flag spheres with few equators
论文作者
论文摘要
在本说明中，我们使用以下属性构建一个旗帜简单$ 3 $ -sphere $δ$： - $δ$不是悬架； - $δ$没有可以签约以获得另一个国旗球的边缘； - $δ$的唯一赤道（诱发的子复合物，是Codimension $ 1 $的球体）是顶点链接。我们的构造具有$ 12 $的顶点，这是这样的简单复合物所能拥有的最小顶点。这回答了Chudnovsky和Nevo提出的一个问题。
In this note we construct a flag simplicial $3$-sphere $Δ$ with the following properties: - $Δ$ is not a suspension; - $Δ$ has no edge that can be contracted to obtain another flag sphere; - The only equators (induced subcomplexes which are spheres of codimension $1$) of $Δ$ are vertex links. Our construction has $12$ vertices, the minimum number of vertices such a simplicial complex can have. This answers a question posed by Chudnovsky and Nevo.
