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(Co)end Calculus: London Mathematical Society Lecture Note Series, cartea 468

Autor Fosco Loregian
en Limba Engleză Paperback – 21 iul 2021
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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Specificații

ISBN-13: 9781108746120
ISBN-10: 1108746128
Pagini: 330
Dimensiuni: 150 x 230 x 18 mm
Greutate: 0.5 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Notă biografică


Descriere

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.