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Metrizability of Clifford topological semigroups |
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| Authors: | Taras?Banakh mailto:t.o.banakh@gmail.com" title=" t.o.banakh@gmail.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Oleg?Gutik,Oles?Potiatynyk,Alex?Ravsky |
| Affiliation: | 1.Instytut Matematyki,Jan Kochanowski University,Kielce,Poland;2.Faculty of Mechanics and Mathematics,Ivan Franko National University of Lviv,Lviv,Ukraine;3.Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of Ukrainian Academy of Sciences,Lviv,Ukraine |
| 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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