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Infinity Properads and Infinity Wheeled Properads / by Philip Hackney, Marcy Robertson, Donald Yau.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Hackney, Philip., Author.
- Robertson, Marcy., Author.
- Yau, Donald., Author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2147
- Language:
- English
- Subjects (All):
- Algebraic topology.
- Categories (Mathematics).
- Algebra, Homological.
- Algebraic Topology.
- Category Theory, Homological Algebra.
- Local Subjects:
- Algebraic Topology.
- Category Theory, Homological Algebra.
- Physical Description:
- 1 online resource (XV, 358 p. 213 illus.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Introduction
- Graphs
- Properads
- Symmetric Monoidal Closed Structure on Properads
- Graphical Properads
- Properadic Graphical Category
- Properadic Graphical Sets and Infinity Properads
- Fundamental Properads of Infinity Properads
- Wheeled Properads and Graphical Wheeled Properads
- Infinity Wheeled Properads
- What's Next?.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references and index.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-20547-1
- OCLC:
- 921124129
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