<電子ブック>
Infinity Properads and Infinity Wheeled Properads / by Philip Hackney, Marcy Robertson, Donald Yau
(Lecture Notes in Mathematics. ISSN:16179692 ; 2147)
版 | 1st ed. 2015. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | XV, 358 p. 213 illus : online resource |
著者標目 | *Hackney, Philip author Robertson, Marcy author Yau, Donald author SpringerLink (Online service) |
件 名 | LCSH:Algebraic topology LCSH:Algebra, Homological FREE:Algebraic Topology FREE:Category Theory, Homological Algebra |
一般注記 | Introduction -- Graphs -- Properads -- Symmetric Monoidal Closed Structure on Properads -- Graphical Properads -- Properadic Graphical Category -- Properadic Graphical Sets and Infinity Properads -- Fundamental Properads of Infinity Properads -- Wheeled Properads and Graphical Wheeled Properads -- Infinity Wheeled Properads -- What's Next? 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 HTTP:URL=https://doi.org/10.1007/978-3-319-20547-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319205472 |
|
電子リソース |
|
EB00236133 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA612-612.8 DC23:514.2 |
書誌ID | 4000119149 |
ISBN | 9783319205472 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降