Infinity Properads and Infinity Wheeled Properads

Infinity Properads and Infinity Wheeled Properads

EnglishPaperback / softbackPrint on demand
Hackney Philip
Springer, Berlin
EAN: 9783319205465
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Detailed information

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.

EAN 9783319205465
ISBN 3319205463
Binding Paperback / softback
Publisher Springer, Berlin
Publication date September 13, 2015
Pages 358
Language English
Dimensions 235 x 155
Country Switzerland
Readership Professional & Scholarly
Authors Hackney Philip; Robertson Marcy; Yau Donald
Illustrations XV, 358 p. 213 illus.
Edition 1st ed. 2015
Series Lecture Notes in Mathematics
Manufacturer information
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