Polynomial Functors: A Mathematical Theory of Interaction

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ID: 287877
2025
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Abstract
Everywhere one looks, one finds dynamic interacting systems: entities expressing and receiving signals between each other and acting and evolving accordingly over time. In this book, the authors give a new syntax for modeling such systems, describing a mathematical theory of interfaces and the way they connect. The discussion is guided by a rich mathematical structure called the category of polynomial functors. The authors synthesize current knowledge to provide a grounded introduction to the material, starting with set theory and building up to specific cases of category-theoretic concepts such as limits, adjunctions, monoidal products, closures, comonoids, comodules, and bicomodules. The text interleaves rigorous mathematical theory with concrete applications, providing detailed examples illustrated with graphical notation as well as exercises with solutions. Graduate students and scholars from a diverse array of backgrounds will appreciate this common language by which to study interactive systems categorically.
Reference Key
persistent_1761420022_68fd22f6a0fb8 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Nelson Niu, David I. Spivak
Journal ADVANCES IN ARCHAEOLOGICAL PRACTICE
Year 2025
DOI
10.1017/9781009576734
URL
https://www.cambridge.org/core/books/polynomial-functors/5A57527AE303503CDCC9B71D3799231F
Keywords Keywords not found

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