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  • On images of complete topologized subsemilattices in sequential semitopological semilattices
    Banakh, Taras, 1968- ; Bardyla, Serhii
    A topologized semilattice ▫$X$▫ is called complete if each non-empty chain ▫$C \subset X$▫ has ▫$\inf C \in {\bar{C}}$▫ and ▫$\inf C \in {\bar{C}}$▫. We prove that for any continuous homomorphism ... ▫$h: X \rightarrow Y$▫ from a complete topologized semilattice ▫$X$▫ to a sequential Hausdorff semitopological semilattice ▫$Y$▫ the image ▫$h(X)$▫ is closed in ▫$Y$▫.
    Vir: Semigroup forum. - ISSN 0037-1912 (Vol. 100, issl. 3, June 2020, str. 662-670)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18735705

vir: Semigroup forum. - ISSN 0037-1912 (Vol. 100, issl. 3, June 2020, str. 662-670)
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