Distal compactifications of semigroups

Junghenn, H. D.

doi:10.1090/S0002-9947-1982-0670940-0

Distal compactifications of semigroups
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by H. D. Junghenn

Trans. Amer. Math. Soc. 274 (1982), 379-397

DOI: https://doi.org/10.1090/S0002-9947-1982-0670940-0

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Abstract:

Properties of distal functions on semitopological semigroups are studied via the device of right topological semigroup compactification. Algebras of distal functions are used to construct the universal right simple, left simple, and group compactifications of a semigroup, and these compactifications are in turn systematically employed to obtain information about distal functions. Applications are made to semidirect products and flows.

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