Marcy Robertson
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Infinity Properads

For the zbMATH review click here. 

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.

The arXiv version can be found here. 


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  • About Me
  • Papers
  • Properads
  • Topology Seminar
  • TASK: Topology in Australia and South Korea
  • Operads and Motives