Exit paths and constructible stacks
Exit paths and constructible stacks
复制标题
退出路径和可构造的堆栈
DOI：
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发表时间：
2007
影响因子：
1.8
通讯作者：
David Treumann
中科院分区：
文献类型：
--
作者：
David Treumann
对于空间X的Whitney分层S（或者更一般地说，Goresky和MacPherson意义上的拓扑分层），我们引入X上范畴的S-可构造栈的概念。激发的例子是S-可构造的反常层的堆叠。我们引入了一个2-范畴EP≤2（X，S），称之为出路2-范畴，它是基本2-广群的自然分层形式.我们的主要结果是：X上S-可构造栈的2-范畴等价于2-函子2Funct（EP≤2（X，S），Cat）的2-范畴，从出路2-范畴到小范畴的2-范畴.
Abstract For a Whitney stratification S of a space X (or, more generally, a topological stratification in the sense of Goresky and MacPherson) we introduce the notion of an S-constructible stack of categories on X. The motivating example is the stack of S-constructible perverse sheaves. We introduce a 2-category EP≤2(X,S), called the exit-path 2-category, which is a natural stratified version of the fundamental 2-groupoid. Our main result is that the 2-category of S-constructible stacks on X is equivalent to the 2-category of 2-functors 2Funct(EP≤2(X,S),Cat) from the exit-path 2-category to the 2-category of small categories.