English

Compound Optics

Category Theory 2022-03-24 v1

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 Prof\mathbf{Prof} on co-presheaves.

Keywords

Cite

@article{arxiv.2203.12022,
  title  = {Compound Optics},
  author = {Bartosz Milewski},
  journal= {arXiv preprint arXiv:2203.12022},
  year   = {2022}
}

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9 pages