Infinite combinatorics deals with various combinatorial properties of infinite sets. The topics might include, for example,
- Ramsey theory on countably infinite sets, including results related to Szemerédi's theorem, Hindman's theorem, etc.
- Ramsey theory on uncountable sets, such as the Erdős–Rado theorem, and partition calculus
- Diamond ($\diamondsuit$) principles and relatives (such as $\clubsuit$), square ($\Box$) principles, club-guessing principles
- Combinatorial properties of infinite graphs or partial orders (such as their chromatic number, marriage problems, etc)
- Cardinal characteristic of the continuum and related topictopics
- Infinite trees, such as Kurepa trees or Aronszajn trees
- Ramsey ultrafilters, p-points and related topics
- (Maximal) almost disjoint families
added also some items from the tag-info on Mathemtaics (added by Andrés E. Caicedo)
Martin Sleziak
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