Displaying similar documents to “Semigroup compactifications by generalized distal functions and a fixed point theorem.”

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

Richard N. Ball, James N. Hagler (2003)

Czechoslovak Mathematical Journal

Similarity:

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.