论文标题

半衍生物的理论

The theory of half derivators

论文作者

Coley, Ian

论文摘要

我们从头开始回顾衍生器的理论,定义了最初由衍生物K理论激励的新类衍生物。我们证明,许多依赖同质性双结合的旧论点也适用于任意图类别的单侧半导数。最后,我们定义了概括瓦尔德豪森(Waldhausen)K理论的衍生物理论的最大领域。

We review the theory of derivators from the ground up, defining new classes of derivators which were originally motivated by derivator K-theory. We prove that many old arguments that relied on homotopical bicompleteness hold also for one-sided half derivators on arbitrary diagram categories. We end by defining the maximal domain for a K-theory of derivators generalising Waldhausen K-theory.

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