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

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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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