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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Infinity Properads and Infinity Wheeled Properads (Paperback, 1st ed. 2015)
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Infinity Properads and Infinity Wheeled Properads (Paperback, 1st ed. 2015)
Series: Lecture Notes in Mathematics, 2147
Expected to ship within 18 - 22 working days
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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.
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