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JOURNALS // Chebyshevskii Sbornik // Archive
Chebyshevskii Sb., 2024 Volume 25, Issue 3, Pages 396–407 (Mi cheb1469)
HISTORY OF MATHEMATICS AND APPLICATIONS

On the canonical Ramsey theorem of Erdős and Rado: a short proof using ultrafilter theory

N. A. V. Mir, N. L. Poliakov

National Research University “Higher School of Economics” (Moscow)

Abstract: The paper gives a short proof of the canonical Ramsey theorem of Erdős and Rado using ultrafilter theory.

Keywords: Ramsey theorem, canonical Ramsey theorem, ultrafilter, ultrafilter extension, quasi-normal ultrafilter.

UDC: 510

Received: 14.04.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-396-407


© Steklov Math. Inst. of RAS, 2025