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Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem

Richard N. BallJames N. Hagler — 2003

Czechoslovak Mathematical Journal

We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.

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