书目名称 | Infinity Properads and Infinity Wheeled Properads |
编辑 | Philip Hackney,Marcy Robertson,Donald Yau |
视频video | |
概述 | 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 technica |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2015 |
关键词 | Fundamental Properad; Graphical Sets; Infinity-Properads; Infinity-Wheeled Properads; Properadic Nerve; P |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-20547-2 |
isbn_softcover | 978-3-319-20546-5 |
isbn_ebook | 978-3-319-20547-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing Switzerland 2015 |