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Hindman–Ellis conjecture on idempotents in compact convex subsystems of means
Hindman–Ellis conjecture. Every compact convex subsystem of $M(S)$ contains an idempotent mean.
Conjecturerefutedbinary-systems means semigroup-theoryarXiv posted 2 days ago

Hindman–Ellis conjecture on idempotents in compact convex subsystems of means