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User:Michiexile/MATH198

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** Functors.
 
** Functors.
 
** Category of categories.
 
** Category of categories.
 
* [[User:Michiexile/MATH198/Lecture 4]]
 
 
** Natural transformations.
 
** Natural transformations.
** Adjunctions.
 
** Free and forgetful.
 
   
* [[User:Michiexile/MATH198/Lecture 5]]
+
* [[User:Michiexile/MATH198/Lecture 4]]
 
** The power of dualization.
 
** The power of dualization.
 
** Limits, colimits.
 
** Limits, colimits.
 
** Products, coproducts.
 
** Products, coproducts.
 
** Equalizers, coequalizers.
 
** Equalizers, coequalizers.
  +
  +
* [[User:Michiexile/MATH198/Lecture 5]]
  +
** Adjunctions.
  +
** Free and forgetful.
   
 
* [[User:Michiexile/MATH198/Lecture 6]]
 
* [[User:Michiexile/MATH198/Lecture 6]]

Revision as of 23:15, 6 October 2009

Course overview

Page is work in progress for background material for the Fall 2009 lecture course MATH198[1] on Category Theory and Functional Programming that I am planning to give at Stanford University.

Single unit course. 10 lectures. Each lecture is Wednesday 4.15-5.05 in 380F.


  • User:Michiexile/MATH198/Lecture 1
    • Category: Definition and examples.
    • Concrete categories.
      • Set.
      • Various categories capturing linear algebra.
    • Small categories.
      • Partial orders.
      • Monoids.
      • Finite groups.
    • Haskell-Curry isomorphism.



  • User:Michiexile/MATH198/Lecture 7
    • Recursion as a categorical construction.
    • Recursive categories.
    • Recursion as fixed points of monad algebras.
    • Recursion using special morphisms.
      • Hylo-
      • Zygo-
      • et.c.