Grothendieck construction of bipermutative-indexed categories [electronic resource] / Donald Yau.

"The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K-the...

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Bibliographic Details
Main Author: Yau, Donald Y. (Donald Ying), 1977- (Author)
Language:English
Published: Boca Raton : CRC Press, 2024.
Edition:First edition.
Subjects:
Grothendieck categories.
Online Access:
Taylor & Francis Complete 2023 eBooks: 2023 (Taylor & Francis eBooks)
Format: Electronic eBook
Contents:
  • Preliminaries on enriched categories and 2-categories
  • Symmetric bimonoidal and bipermutative categories
  • Enriched multicategories and multiequivalences
  • Pseudo symmetry
  • Enriched multicateogires of indexed categories
  • The Grothendieck construction is a pseudo symmetric cat-multifunctor
  • PErmutative opfibrations from bipermutative-indexed categories
  • The Grothendieck construction is a cat-multiequivalence
  • The cat-multifunctor A
  • Inverse K-theory is a pseudo syymetric cat-multifunctor.