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Andrés E. Caicedo
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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

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

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
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Carl Mummert
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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;
  • diamondDiamond ($\diamondsuit$) principles and relatives (such as $\clubsuit$), square ($\Box$) principles, club-guessing principles
  • combinatorialCombinatorial properties of infinite graphs or partial orders (such as their chromatic number, marriage problems, etc)
  • Cardinal characteristic of the continuum and related topics;topic
  • Infinite trees, such as Kurepa treetrees or Aronszajn treetrees;
  • Ramsey ultrafilters, p-points and related topics.
  • (Maximal) almost disjoint families.

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 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 tree or Aronszajn tree;
  • Ramsey ultrafilters, p-points and related topics.
  • (Maximal) almost disjoint families.

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 topic
  • Infinite trees, such as Kurepa trees or Aronszajn trees
  • Ramsey ultrafilters, p-points and related topics
  • (Maximal) almost disjoint families
added 125 characters in body
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Carl Mummert
  • 9.7k
  • 14
  • 8

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 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 tree or Aronszajn tree;
  • Ramsey ultrafilters, p-points and related topics.
  • (Maximal) almost disjoint families.

Infinite combinatorics deals with various combinatorial properties of infinite sets. The topics might include, for example,

  • Ramsey theory on infinite sets 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 tree or Aronszajn tree;
  • Ramsey ultrafilters, p-points and related topics.
  • (Maximal) almost disjoint families.

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 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 tree or Aronszajn tree;
  • 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)
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Martin Sleziak
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Andrés E. Caicedo
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Andrés E. Caicedo
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Martin Sleziak
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