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Ball, Richard N.; Hagler, James N.

Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem. (English) Zbl 1026.54043

Czech. Math. J. 53, No. 2, 319-342 (2003).
Summary: 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.

MSC:

54H20 Topological dynamics (MSC2010)
11B75 Other combinatorial number theory
37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)

Keywords:

flow; Stone-Čech compactification; Hindman’s theorem
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References:

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