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(Co)end Calculus

(Co)end Calculus

Paperback

Series: London Mathematical Society Lecture Note, Book 468

Fiction

ISBN10: 1108746128
ISBN13: 9781108746120
Publisher: Cambridge University Press
Published: Jul 22 2021
Pages: 330
Weight: 1.10
Height: 0.70 Width: 8.10 Depth: 8.90
Language: English
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.

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Fiction