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Flow Compactifications of Nondiscrete Monoids, Idempotents and Hindman's Theorem

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, University of Denver, Denver, Colorado, 80208, U.S.A.

    Richard N. Ball & James N. Hagler

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  1. Richard N. Ball
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  2. James N. Hagler
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Ball, R.N., Hagler, J.N. Flow Compactifications of Nondiscrete Monoids, Idempotents and Hindman's Theorem. Czechoslovak Mathematical Journal 53, 319–342 (2003). https://doi.org/10.1023/A:1026231202849

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