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  3. Higher Operads, Higher Categories
  • Cited by 259
      • Tom Leinster, Institut des Hautes Études Scientifiques, France
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    • Publisher:
      Cambridge University Press
      Publication date:
      08 January 2010
      22 July 2004
      ISBN:
      9780511525896
      9780521532150
      DOI:
      https://doi.org/10.1017/CBO9780511525896
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.584kg, 448 Pages
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Mathematical Physics
      Series:
      London Mathematical Society Lecture Note Series (298)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets, Mathematical Physics
    Series:
    London Mathematical Society Lecture Note Series (298)
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    Book description

    Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. The heart of this book is the language of generalized operads. This is as natural and transparent a language for higher category theory as the language of sheaves is for algebraic geometry, or vector spaces for linear algebra. It is introduced carefully, then used to give simple descriptions of a variety of higher categorical structures. In particular, one possible definition of n-category is discussed in detail, and some common aspects of other possible definitions are established. This is the first book on the subject and lays its foundations. It will appeal to both graduate students and established researchers who wish to become acquainted with this modern branch of mathematics.

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