The core of adjoint functors

Ross Street

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arXiv · 1112.0094

The core of adjoint functors

Ross Street

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Abstract

There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.

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Ross Street. 2012-01-03. The core of adjoint functors. https://arxiv.org/abs/1112.0094

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