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arXiv · 2001.09940

The Universal Exponentiable Arrow

Taichi Uemura
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Abstract

We show that the essentially algebraic theory of generalized algebraic theories, regarded as a category with finite limits, has a universal exponentiable arrow in the sense that any exponentiable arrow in any category with finite limits is the image of the universal exponentiable arrow by an essentially unique functor.

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Taichi Uemura. 2020-01-27. The Universal Exponentiable Arrow. https://doi.org/10.1016/j.jpaa.2021.106991

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