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Lecture Notes in Mathematics

Infinity Properads and Infinity Wheeled Properads

Authors: Hackney, Philip, Robertson, Marcy, Yau, Donald

  • Studies topics that are somewhat ignored in the existent literature on properads
  • Contains important results, especially concerning the combinatorics of graphs and graphs substitution
  • Analyses technical and conceptual difficulties in an easy-to-read manner
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-20547-2
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  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-20546-5
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  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (11 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-20547-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-20546-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Infinity Properads and Infinity Wheeled Properads
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2147
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-20547-2
DOI
10.1007/978-3-319-20547-2
Softcover ISBN
978-3-319-20546-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XV, 358
Number of Illustrations and Tables
213 b/w illustrations
Topics