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 topics
• Infinite trees, such as Kurepa trees or Aronszajn trees;
• Ramsey ultrafilters, p-points and related topics.
• (Maximal) almost disjoint families.

Closely related tags include combinatorial-set-theory. additive-combinatorics, and small-uncountable-cardinals.

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 topics
• Infinite trees, such as Kurepa trees or Aronszajn trees;
• Ramsey ultrafilters, p-points and related topics.
• (Maximal) almost disjoint families.

Closely related tags include combinatorial-set-theory. additive-combinatorics, and cardinal-characteristics.

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 topics
• Infinite trees, such as Kurepa trees or Aronszajn trees;
• Ramsey ultrafilters, p-points and related topics.
• (Maximal) almost disjoint families.

Closely related tags include combinatorial-set-theory. additive-combinatorics, and small-uncountable-cardinals.