(Co)end Calculus

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus, a powerful tool for clarifying and simplifying many results in category theory that may then be exported to diverse mathematical fields. It is suitable as a reference for category theorists and users of category theory alike.

List of contents

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.

About the author

Fosco Loregian is a postdoctoral researcher at Tallinn University of Technology, Estonia. His research is mainly focused on category theory and its applications in algebra, geometry and logic.

Product details

• Authors: Fosco Loregian
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2021
• EAN: 9781108746120
• ISBN: 978-1-108-74612-0
• No. of pages: 330
• Dimensions: 155 mm x 230 mm x 20 mm
• Series: London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / Logic, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Topology, MATHEMATICS / Set Theory, Algebraic Geometry, Calculus & mathematical analysis, Mathematical logic, Algebraic Topology, Calculus and mathematical analysis, Set theory