摘要翻译：
任何函子在集到集之间的单纯扩张，如果它与有向colimits交换，则弱等价到弱等价。本文的目的是构造一个框架，用于证明一类广泛的闭模型范畴和这些范畴之间的函子的这类结果。
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英文标题：
《Simplicial radditive functors》
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作者：
Vladimir Voevodsky
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  The simplicial extension of any functor from Sets to Sets which commutes with directed colimits takes weak equivalences to weak equivalences. The goal of the present paper is construct a framework which can be used to proof results of this kind for a wide class of closed model categories and functors between those categories.
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PDF链接：
https://arxiv.org/pdf/0805.4434