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Metrizability of Clifford topological semigroups

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Abstract

We prove that a countably compact Clifford topological semigroup S is metrizable if and only if the set E={e∈S:ee=e} of idempotents of S is a metrizable G δ -set in S.

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Authors and Affiliations

  1. Instytut Matematyki, Jan Kochanowski University, Kielce, Poland

    Taras Banakh

  2. Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Universytetska 1, 79000, Lviv, Ukraine

    Taras Banakh, Oleg Gutik & Oles Potiatynyk

  3. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of Ukrainian Academy of Sciences, Lviv, Ukraine

    Alex Ravsky

Authors
  1. Taras Banakh
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  2. Oleg Gutik
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  3. Oles Potiatynyk
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  4. Alex Ravsky
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Corresponding author

Correspondence to Taras Banakh.

Additional information

Communicated by Jimmie D. Lawson.

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Banakh, T., Gutik, O., Potiatynyk, O. et al. Metrizability of Clifford topological semigroups. Semigroup Forum 84, 301–307 (2012). https://doi.org/10.1007/s00233-011-9341-7

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  • DOI: https://doi.org/10.1007/s00233-011-9341-7

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