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Colored Operads
About this Title
Donald Yau, The Ohio State University at Newark, Newark, OH
Publication: Graduate Studies in Mathematics
Publication Year:
2016; Volume 170
ISBNs: 978-1-4704-2723-8 (print); 978-1-4704-2871-6 (online)
DOI: https://doi.org/10.1090/gsm/170
MathSciNet review: MR3444662
MSC: Primary 18D50; Secondary 05-01, 18-01, 18D10, 18G55
Table of Contents
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Front/Back Matter
Part 1. Graphs and trees
- Chapter 1. Directed graphs
- Chapter 2. Extra structures on graphs
- Chapter 3. Rooted trees
- Chapter 4. Collapsing an internal edge
- Chapter 5. Grafting of rooted trees
- Chapter 6. Grafting and extra structures
Part 2. Category theory
- Chapter 7. Basic category theory
- Chapter 8. Symmetric monoidal categories
- Chapter 9. Colored symmetric sequences and objects
Part 3. Operads and algebras
- Chapter 10. Motivation for colored operads
- Chapter 11. Colored operads
- Chapter 12. Operads in arity 1
- Chapter 13. Algebras over colored operads
- Chapter 14. Examples of algebras
- Chapter 15. Motivation for partial compositions
- Chapter 16. Colored pseudo-operads
Part 4. Free colored operads
- Chapter 17. Motivation for free colored operads
- Chapter 18. General operadic composition
- Chapter 19. Free colored non-symmetric operads
- Chapter 20. Free colored operads
- Further reading