- Series: Lecture Notes in Mathematics (Book 2147)
- Paperback: 358 pages
- Publisher: Springer; 1st ed. 2015 edition (October 9, 2015)
- Language: English
- ISBN-10: 3319205463
- ISBN-13: 978-3319205465
- Product Dimensions: 6.1 x 0.8 x 9.2 inches
- Shipping Weight: 12.5 pounds (View shipping rates and policies)
- Average Customer Review: Be the first to review this item
- Amazon Best Sellers Rank: #1,974,579 in Books (See Top 100 in Books)
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Infinity Properads and Infinity Wheeled Properads (Lecture Notes in Mathematics) 1st ed. 2015 Edition
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“This monograph gives a very nice and complete presentation of the theory of ∞-properads and ∞-wheeled properads. … This book is very well written, motivated and almost self-contained. It should be of high interest for people working in homotopy theory and higher categories.” (David Chataur, Mathematical Reviews, December, 2016)
From the Back Cover
The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads, and enable one to encode bialgebraic, rather than just (co)algebraic, structures.
The text extends both the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher operads, and provides a foundation for a broad study of the homotopy theory of properads. This work also serves as a complete guide to the generalised graphs which are pervasive in the study of operads and properads. A preliminary list of potential applications and extensions comprises the final chapter.
Infinity Properads and Infinity Wheeled Properads is written for mathematicians in the fields of topology, algebra, category theory, and related areas. It is written roughly at the second year graduate level, and assumes a basic knowledge of category theory.
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