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RT Book, Whole SR Electronic DC OPAC T1 Infinity Properads and Infinity Wheeled Properads / by Philip Hackney, Marcy Robertson, Donald Yau T2 Lecture Notes in Mathematics A1 Hackney, Philip A1 Robertson, Marcy A1 Yau, Donald A1 SpringerLink (Online service) YR 2015 FD 2015 SP XV, 358 p. 213 illus K1 Mathematics K1 Category theory (Mathematics) K1 Homological algebra K1 Algebraic topology K1 Mathematics K1 Algebraic Topology K1 Category Theory, Homological Algebra ED 1st ed. 2015 PB Springer International Publishing : Imprint: Springer PP Cham SN 9783319205472 LA English (英語) CL DC23:514.2 NO 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 NO 書誌ID=1002988475; LK [E Book]http://dx.doi.org/10.1007/978-3-319-20547-2 OL 30