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(Co)end Calculus

by Fosco Loregian

Cambridge University Press

Paperback 330 pages English 16-Sep-21

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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.
Author:
Fosco Loregian
Publisher:
Cambridge University Press
Publication Date:
16-Sep-21
Number of pages:
330 pages
Language:
English
Binding:
Paperback
ISBN-10:
1108746128
ISBN-13:
9781108746120