Thickness in topological transformation semigroups

Tyler Haynes

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-10

Abstract:

This article deals with thickness in topological transformation semigroups ( τ -semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ -semigroup if there exists an invariant mean on its functions restricted to a sub- τ -semigroup of the original τ -semigroup. We sketch earlier results, then give many equivalent conditions for thickness on τ -semigroups, and finally present theorems giving conditions for an invariant mean to exist on a function space.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:250861

DOI: 10.1155/S0161171293000602

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