Ultrafilter methods in combinatorics

Oberwolfach'tan

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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Matematiksel konular

Cebir ve Sayılar Kuramı

Ayrık Matematik ve Matematiğin Temelleri

Yazar(lar)

Isaac Goldbring

Lisans

CC BY-SA-4.0

DOI (Dijital nesne belirteci)

10.14760/SNAP-2021-006-EN

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snapshot-2021-006.pdf

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