Seven Sketches in Compositionality: An Invitation to Applied Category Theory
Category Theory
2018-10-16 v3
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
Keywords
Cite
@article{arxiv.1803.05316,
title = {Seven Sketches in Compositionality: An Invitation to Applied Category Theory},
author = {Brendan Fong and David I Spivak},
journal= {arXiv preprint arXiv:1803.05316},
year = {2018}
}
Comments
341+xii pages