The ultrafilter functor carries the monad structure obtained from its terminality among finite-coproduct-preserving endofunctors of sets. Its unit sends a point to its principal ultrafilter; its multiplication sends an ultrafilter of ultrafilters to the ultrafilter of subsets whose corresponding basic set of ultrafilters is large.

Ancestors (7)

  1. Monad structure on a terminal endofunctor
  2. Monad
  3. Category theory
  4. Foundations of mathematics
  5. Area of mathematics
  6. Mathematics
  7. Home

Incoming links (1)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version