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Infinity Properads and Infinity Wheeled Properads

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 t...

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Auteurs principaux: Hackney, Philip. (Auteur, http://id.loc.gov/vocabulary/relators/aut), Robertson, Marcy. (http://id.loc.gov/vocabulary/relators/aut), Yau, Donald. (http://id.loc.gov/vocabulary/relators/aut)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:English
Publié: Cham : Springer International Publishing : Imprint: Springer, 2015.
Édition:1st ed. 2015.
Collection:Lecture Notes in Mathematics, 2147
Sujets:
Algebraic topology.
Category theory (Mathematics).
Homological algebra.
Algebraic Topology.
Category Theory, Homological Algebra.
Accès en ligne:https://doi.org/10.1007/978-3-319-20547-2
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Table des matières:
  • 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?.

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