Guest User

Untitled

a guest
Jun 10th, 2012
64
Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
  1. Excerpt
  2. Filters (and ultrafilters) are used in various areas of mathematics, e.g. general topology, set theory, boolean algebras, model theory.
  3. In topology they can be used to study convergence in a more general way than just convergence of sequences.
  4.  
  5. Wiki
  6. [Filters](http://en.wikipedia.org/wiki/Filter_%28mathematics%29) (and [ultrafilters](http://en.wikipedia.org/wiki/Ultrafilter)) are used in various areas of mathematics, e.g. general topology, set theory, boolean algebras, model theory.
  7. In topology they can be used to study convergence in a more general way than just convergence of sequences.
  8. Various types of ultrafilters (such as good ultrafilters, Ramsey ultrafilters, P-points) are useful in set theory and model theory and their applications.
RAW Paste Data