(Co)end Calculus
Published on 7. July 2021
332 pages
978-1-108-78860-1 (ISBN)
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 / Votes
'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, MathSciNetMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
2,03 MB
ISBN-13
978-1-108-78860-1 (9781108788601)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Fosco Loregian
(Co)end Calculus
Book
07/2021
Cambridge University Press
€105.20
Shipment within 15-20 days
Content
Preface; 1. Dinaturality and (co)ends; 2. Yoneda and Kan; 3. Nerves and realisations; 4. Weighted (co)limits; 5. Profunctors; 6. Operads; 7. Higher dimensional (co)ends; Appendix A. Review of category theory; Appendix B; References; Index.
