# Space-Valued Diagrams, Type-Theoretically (Extended Abstract)

@article{Kraus2017SpaceValuedDT, title={Space-Valued Diagrams, Type-Theoretically (Extended Abstract)}, author={Nicolai Kraus and Christian Sattler}, journal={ArXiv}, year={2017}, volume={abs/1704.04543} }

Topologists are sometimes interested in space-valued diagrams over a given index category, but it is tricky to say what such a diagram even is if we look for a notion that is stable under equivalence. The same happens in (homotopy) type theory, where it is known only for special cases how one can define a type of type-valued diagrams over a given index category. We offer several constructions. We first show how to define homotopy coherent diagrams which come with all higher coherence laws…

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