论文标题
在一个简单的单体上，其基础简单集不是准类别
On a simplicial monoid whose underlying simplicial set is not a quasi-category
论文作者
论文摘要
众所周知，任何简单基团的基本简单集都是KAN复合体。粗略地说，kan复合体是类固醇的无限维模拟，群体和类别之间的关系类似于组和单粒子之间的类别。因此，人们可能会询问每个简单的单体的基本简单集是否是准类别。在简短的说明中，我们构建了一个简单的单体，其基本的简单集不是准类别。
It is well known that the underlying simplicial set of any simplicial group is a Kan complex. Roughly speaking, Kan complex is an infinite-dimensional analogue of groupoid, and the relation between groupoids and categories resembles that between groups and monoids. Thus one may ask if the underlying simplicial set of each simplicial monoid is a quasi-category. In this short note, we construct a simplicial monoid whose underlying simplicial set is not a quasi-category.
