Codensity monads


Venue   University of California at Riverside, 15 January 2020

Abstract   This talk is about a canonical categorical construction: the codensity monad of a functor. When applied to some familiar functors, it produces concepts such as these:

  • prime ideals and fields of fractions
  • the radical of an integer
  • ultrafilters and ultraproducts
  • compact Hausdorff spaces and sheaves on them
  • double dualization of vector spaces
  • linearly compact vector spaces
  • probability measures
I will explain.

Slides   In this pdf file. See the last page for references and further reading.

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