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Ultrafilter methods in combinatorics

Instantanés de recherche mathématique à Oberwolfach

Ultrafilter methods in combinatorics

Given a set X, ultrafilters determine which subsets of X should be considered as large. We illustrate the use of ultrafilter methods in combinatorics by discussing two cornerstone results in Ramsey theory, namely Ramsey’s theorem itself and Hindman’s theorem. We then present a recent result in combinatorial number theory that verifies a conjecture of Erdős known as the “B + C conjecture”.

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Sujet mathématique

Algèbre et théorie des nombres
Mathématiques discrètes et fondements des mathématiques

Auteur(s)

Isaac Goldbring

Licence

DOI

10.14760/SNAP-2021-006-EN

Télécharger PDF

snapshot-2021-006.pdf

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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

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