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Yoneda lemma and representation theorem for double categories

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Publication:6634625
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zbMATH Open1548.18026MaRDI QIDQ6634625

Benedikt Fröhlich, Lyne Moser

Publication date: 8 November 2024

Published in: Theory and Applications of Categories (Search for Journal in Brave)




zbMATH Keywords

representation theoremGrothendieck constructiondouble categoriespresheavesYoneda lemma


Mathematics Subject Classification ID

Fibered categories (18D30) 2-categories, bicategories, double categories (18N10) Internal categories and groupoids (18D40) Profunctors (= correspondences, distributors, modules) (18D60)


Cites Work

  • Title not available (Why is that?)
  • Title not available (Why is that?)
  • Fibred 2-categories and bicategories
  • Model structures on the category of small double categories
  • 2-limits and 2-terminal objects are too different
  • Bilimits are bifinal objects
  • Categorical notions of fibration
  • Double ad junctions and free monads
  • Categorical homotopy theory
  • Yoneda theory for double categories
  • Discrete Double Fibrations
  • Bi-initial objects and bi-representations are not so different
  • A unified framework for generalized multicategories







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