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On perfect group actions on the set of compact subsets - MaRDI portal

On perfect group actions on the set of compact subsets (Q2719416)

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scientific article; zbMATH DE number 1609667
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On perfect group actions on the set of compact subsets
scientific article; zbMATH DE number 1609667

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    25 June 2001
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    exponents
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    On perfect group actions on the set of compact subsets (English)
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    The author finds an answer to the following question: What conditions should be imposed on the group actions so that the induced action on the exponent would have closed orbits? Note that the exponent properties were scrutinized in [\textit{R.~Engelking}, General topology (1977; Zbl 0373.54002)]. The author shows that the property of the ``perfect'' group action on a completely regular space is preserved when passing to the induced action on the exponent. This is one of the possible answers to the posed question.
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