Infinity Properads and Infinity Wheeled Properads

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Infinity Properads and Infinity Wheeled Properads by Philip Hackney, Marcy Robertson, Donald Yau, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Philip Hackney, Marcy Robertson, Donald Yau ISBN: 9783319205472
Publisher: Springer International Publishing Publication: September 7, 2015
Imprint: Springer Language: English
Author: Philip Hackney, Marcy Robertson, Donald Yau
ISBN: 9783319205472
Publisher: Springer International Publishing
Publication: September 7, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Dynamical Systems in Population Biology by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Bayesian Statistics in Action by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Transcriptomics in Health and Disease by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Atlas of Pediatric and Youth ECG by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Granville Sharp's Uncovered Letter and the Zong Massacre by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Network and Parallel Computing by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Team-Based Oncology Care: The Pivotal Role of Oncology Navigation by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Who is Who in Thermal Analysis and Calorimetry by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book An Illustrated Guide to Pediatric Urology by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Research-Based Learning: Case Studies from Maastricht University by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Quantum Systems in Physics, Chemistry, and Biology by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Computational Methods for Processing and Analysis of Biological Pathways by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Time Series Analysis and Its Applications by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Sociability, Social Capital, and Community Development by Philip Hackney, Marcy Robertson, Donald Yau
Cover of the book Digital Connectivity and Music Culture by Philip Hackney, Marcy Robertson, Donald Yau
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy