VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Metrizability of hereditarily normal compact like groups
    Dikranjan, Dikran N., 1950- ; Impieri, Daniele ; Toller, Daniele
    Inspired by the fact that a compact topological group is hereditarily normal if and only if it is metrizable, we prove that various levels of compactness-like properties imposed on a topological ... group ▫$G$▫ allow one to establish that ▫$G$▫ is hereditarily normal if and only if ▫$G$▫ is metrizable (among these properties are locally compactness, local minimality and ▫$\omega$▫-boundedness). This extends recent results from [R. Buzyakova, On hereditarily normal topological groups, Fund. Math. 219(2012), no. 3, 245251.] in the case of countable compactness.
    Vrsta gradiva - članek, sestavni del
    Leto - 2013
    Jezik - angleški
    COBISS.SI-ID - 16806489