Akademska digitalna zbirka SLovenije - logo
VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
PDF
  • Characterizing chain-compact and chain-finite topological semilattices
    Banakh, Taras, 1968- ; Bardyla, Serhii
    In the paper we present various characterizations of chain-compact and chain-finite topological semilattices. A topological semilattice ▫$X$▫ is called chain-compact (resp. chain-finite) if each ... closed chain in ▫$X$▫ is compact (finite). In particular, we prove that a (Hausdorff) ▫$T_1$▫-topological semilattice ▫$X$▫ is chain-finite (chain-compact) if and only if for any closed subsemilattice ▫$Z \subset X$▫ and any continuous homomorphism ▫$h:Z \to Y$▫ to a (Hausdorff) ▫$T_1$▫-topological semilattice ▫$Y$▫ the image ▫$h(Z)$▫ is closed in ▫$Y$▫.
    Vir: Semigroup forum. - ISSN 0037-1912 (Vol. 98, iss. 2, Apr. 2019, str. 234-250)
    Vrsta gradiva - članek, sestavni del
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18276185

vir: Semigroup forum. - ISSN 0037-1912 (Vol. 98, iss. 2, Apr. 2019, str. 234-250)
loading ...
loading ...
loading ...