AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Complicial sets characterising the simplicial nerves of strict $𝜔$-categories

About this Title

Dominic Verity

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 193, Number 905
ISBNs: 978-0-8218-4142-6 (print); 978-1-4704-0511-3 (online)
DOI: https://doi.org/10.1090/memo/0905
MathSciNet review: 2399898
MSC: Primary 18D05; Secondary 18D15, 18D35, 18G30, 55U10

View full volume as PDF

Read more about this volume

Table of Contents

Chapters

• 1. Simplicial operators and simplicial sets
• 2. A little categorical background
• 3. Double categories, 2-categories and $n$-categories
• 4. An introduction to the decalage construction
• 5. Stratifications and filterings of simplicial sets
• 6. Pre-complicial sets
• 7. Complicial sets
• 8. The path category construction
• 9. Complicial decalage constructions
• 10. Street’s $\omega$-categorical nerve construction