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On quasi-transitive semigroup actions

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Abstract

A semigroup S acts quasi-transitively on a space X if the orbits form a partition of X. Some results are proved giving characterisations of normal quasi-transitive acts and quasi-transitive acts for which the action maps satisfy various other conditions. Finally a result concerning the effect of quasi-transitive action by a continuum semigroup on a subspace of the plane is proved.

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Authors and Affiliations

  1. Stat-Math Division, Indian Statistical Institute, 203 B. T. Road, 700 035, Calcutta, India

    Kripasindhu Sikdar

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  1. Kripasindhu Sikdar
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Communicated by R. P. Hunter

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Sikdar, K. On quasi-transitive semigroup actions. Semigroup Forum 20, 269–280 (1980). https://doi.org/10.1007/BF02572686

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  • DOI: https://doi.org/10.1007/BF02572686

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