Compound Optics

Bartosz Milewski

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arXiv · 2203.12022

Compound Optics

Bartosz Milewski

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Abstract

Simple optics are defined using actions of monoidal categories. Compound optics arise, for instance, as natural transformations between polynomial functors. Since a monoidal category is a special case of a bicategory, we formulate complex optics using the action of a bicategory. We show that polynomial optics are a special case of complex optics defined by the action of bicategory $\mathbf{Prof}$ on co-presheaves.

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Bartosz Milewski. 2022-03-22. Compound Optics. https://arxiv.org/abs/2203.12022

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