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Abstract

In the usual theory of categories, with any two objects A, B of a category A there is associated a set A (A B) of morphisms of A into B. Frequently the set A (A B) is endowed with an additional structure such as a privileged element or an abelian group structure. It has become clear that as the ramifications of the theory of categories increase, the structures that A (A B) will carry will be richer and more complex. The need for a general theory has been widely felt for some time, and beginnings have been made in various directions and often under restrictive hypotheses; e.g. by Mac Lane [15], Kelly [10], Bénabou [3], Linton [12]

Keywords

Natural Transformation Natural Isomorphism Monoidal Category Follow Diagram Commute Monoidal Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1966

Authors and Affiliations

  • Samuel Eilenberg
    • 1
    • 2
  • G. Max Kelly
    • 1
    • 2
  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA
  2. 2.Pure Mathematics DepartmentUniversity of SydneySydneyAustralia

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