Some properties of RIC-extensions of minimal semigroups of transformations. (Russian) Zbl 0598.20065

In his monograph on topological dynamics van der Woude has published results on properties of RIC-extensions, valid for groups of transformations. Minimal semigroups of transformations with a compact Hausdorff phase space and a fixed phase semigroup are considered. The author establishes, that some of the van der Woude results are valid for the semigroups under consideration, too. Furthermore the author proves criteria, which guarantee an open extension of minimal semigroups to be an RIC-extension.
Reviewer: K.Barckow


20M20 Semigroups of transformations, relations, partitions, etc.
54H15 Transformation groups and semigroups (topological aspects)
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