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      Filters and the weakly almost periodic compactification of a semitopological semigroup

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          Abstract

          Let \(S\) be a semitopological semigroup. The \(wap-\) compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the \(Lmc-\) compactification of semigroup \(S\) is a universal semigroup compactification of \(S\), which are denoted by \(S^{wap}\) and \(S^{Lmc}\) respectively. In this paper, an internal construction of the \(wap-\)compactification of a semitopological semigroup is constructed as a space of \(z-\)filters. Also we obtain the cardinality of \(S^{wap}\) and show that if \(S^{wap}\) is the one point compactification then \((S^{Lmc}-S)*S^{Lmc}\) is dense in \(S^{Lmc}-S\).

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          Ultrafilters on ω

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            Ultrafilters on Semitopological Semigroups

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              On the analogue of Veech’s theorem in the WAP-compactification of a locally compact group

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                Author and article information

                Journal
                13 February 2013
                Article
                1302.3204
                ff37bdae-63b2-4712-8029-b61eaf1d0a93

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Primary: 54D80, 22A15, Secondary: 22A20
                math.FA

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