Categories, Functors, and Natural Transformations

  • Saunders Mac Lane
Part of the Graduate Texts in Mathematics book series (GTM, volume 5)


First we describe categories directly by means of axioms, without using any set theory, and call them “metacategories”. Actually, we begin with a simpler notion, a (meta)graph.


Abelian Group Commutative Ring Natural Transformation Homotopy Class Large Category 
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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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