(Co)end calculus
著者
書誌事項
(Co)end calculus
（London Mathematical Society lecture note series, 468）
Cambridge University Press, 2021
- : pbk
- タイトル別名
-
Coend calculus
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注記
Includes bibliographical references (p. 297-304) and index
内容説明・目次
内容説明
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.
目次
- 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.
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