VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On the quasi-component of pseudocompact abelian groups
    Dikranjan, Dikran N., 1950- ; Lukács, Gábor, 1982-
    In this paper, we describe the relationship between the quasi-component ▫$q(G)$▫ of a (perfectly) minimal pseudocompact abelian group ▫$G$▫ and the quasi-component ▫$q(\widetilde G)$▫ of its ... completion. Specifically, we characterize the pairs ▫$(C,A)$▫ of compact connected abelian groups ▫$C$▫ and subgroups ▫$A$▫ such that ▫$A \cong q(G)$▫ and ▫$C \cong q(\widetilde G)$▫. As a consequence, we show that for every positive integer ▫$n$▫ or ▫$n = \omega$▫, there exist plenty of abelian pseudocompact perfectly minimal ▫$n$▫-dimensional groups ▫$G$▫ such that the quasi-component of ▫$G$▫ is not dense in the quasi-component of the completion of ▫$G$▫.
    Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 159, iss. 8, 2012, str. 2152-2157)
    Vrsta gradiva - članek, sestavni del
    Leto - 2012
    Jezik - angleški
    COBISS.SI-ID - 16244057

    Povezava(-e):

    http://dx.doi.org/10.1016/j.topol.2012.02.007

vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 159, iss. 8, 2012, str. 2152-2157)
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