（纤维化）衍生物的包围
Enlargement of (fibered) derivators
摘要：
我们证明了所有小范畴上的导子理论（或者更一般地说，纤维多导子理论）等价于偏序集上的导子理论，在以下意义上：定义在偏序集上的每个导子（更一般地说，每个纤维多导子）都有一个扩展到所有小范畴的唯一性，直到导子等价为止。此外，扩展的Cisinski定理，我们表明，每一个双纤维化的多模型范畴（基本上是一个集合的模型类别，和Quillen之间的几个变量）产生一个左，右纤维multiderivator的所有小范畴。
英文摘要：
We show that the theory of derivators (or, more generally, of fibered multiderivators) on all small categories is equivalent to this theory on partially ordered sets, in the following sense: Every derivator (more generally, every fibered multiderivator) defined on partially ordered sets has an enlargement to all small categories that is unique up to equivalence of derivators. Furthermore, extending a theorem of Cisinski, we show that every bifibration of multi-model categories (basically a collection of model categories, and Quillen adjunctions in several variables between them) gives rise to a left and right fibered multiderivator on all small categories.
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