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  3. (Co)end Calculus
  • Cited by 27
Publisher:
Cambridge University Press
Online publication date:
July 2021
Print publication year:
2021
Online ISBN:
9781108778657
DOI:
https://doi.org/10.1017/9781108778657
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (468)
Information

Book description

The language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and in applications. Yet although category-theoretic methods are now widely used by mathematicians, since (co)ends lie just beyond a first course in category theory, they are typically only used by category theorists, for whom they are something of a secret weapon. This book is the first systematic treatment of the theory of (co)ends. Aimed at a wide audience, it presents the (co)end calculus as a powerful tool to clarify and simplify definitions and results in category theory and export them for use in diverse areas of mathematics and computer science. It is organised as an easy-to-cite reference manual, and will be of interest to category theorists and users of category theory alike.

Reviews

'At just above 300 pages, this book achieves a great deal in a limited space. …The presentation is lively and the author’s enthusiasm for exposition comes across vividly, making the book a pleasant read.'

Nicola Gambino Source: MathSciNet

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