Recapturing Semigroup Compactifications of a Group from Those of Its Closed Normal Subgroups
نویسندگان
چکیده
We know that if S is a subsemigroup of a semitopological semigroup T , and stands for one of the spaces , , , or , and ( ,T ) denotes the canonical -compactification of T , where T has the property that (S) = (T)|s , then ( |s , (S)) is an -compactification of S. In this paper, we try to show the converse of this problem when T is a locally compact group and S is a closed normal subgroup of T . In this way we construct various semigroup compactifications of T from the same type compactifications of S.
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تاریخ انتشار 2000