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arXiv · 1803.05316

Seven Sketches in Compositionality: An Invitation to Applied Category Theory

Brendan Fong·David I Spivak
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Abstract

This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. It aims to give a tour: a gentle, quick introduction to guide later exploration. The tour takes place over seven sketches, each pairing an evocative application, such as databases, electric circuits, or dynamical systems, with the exploration of a categorical structure, such as adjoint functors, enriched categories, or toposes. No prior knowledge of category theory is assumed. A feedback form for typos, comments, questions, and suggestions is available here: https://docs.google.com/document/d/160G9OFcP5DWT8Stn7TxdVx83DJnnf7d5GML0_FOD5Wg/edit

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BibTeXRIS

Brendan Fong, David I Spivak. 2018-03-14. Seven Sketches in Compositionality: An Invitation to Applied Category Theory. https://arxiv.org/abs/1803.05316

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