Kan Extensions

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According to Saunders Mac Lane[1], the founder of Category Theory: 

The notion of Kan extensions subsumes all the other fundamental concepts of category theory.

References

  1. ↑ Mac Lane, Saunders (1998). Categories for the Working Mathematician. Graduate Texts in Mathematics. 5 (2nd ed.). local page: Springer-Verlag. ISBN 0-387-98403-8. Zbl 0906.18001. 
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