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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

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Table of Contents

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Front/Back Matter

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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