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Ultrafilter methods in combinatorics

Instantáneas de la actualidad matemática desde 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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Área matemática

Álgebra y Teoría de números
Matemática discreta y Fundamentos

Autor(es)

Isaac Goldbring

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2021-006-EN

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snapshot-2021-006.pdf

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