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arXiv · 2010.12057

The theory of half derivators

Ian Coley
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Abstract

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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Ian Coley. 2020-10-22. The theory of half derivators. https://arxiv.org/abs/2010.12057

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