VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Zariski topology and Markov topology on groups
    Dikranjan, Dikran N., 1950- ; Toller, Daniele
    Every group ▫$G$▫ carries an intrinsically defined (by means of solution sets of one-variable equations) topology ▫$\mathfrak{Z}_G$▫, named Zariski topology. It is related to another topology ... ▫$\mathfrak{M}_G$▫ having as closed sets all unconditionally closed sets of ▫$G$▫, named Markov topology, after Markov who implicitly introduced both topologies in dealing with a series of problems related to group topologies. The aim of this survey is to enlighten the utility of these topologies in resolving Markov problems, as well as other challenging problems in the area of topological groups, mainly related to topologization via group topologies with certain properties. We show that these topologies shelter under the same umbrella as distant issues as abelian groups and highly non-abelian ones, as permutation groups and homeomorphism groups.
    Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 241, June 2018, str. 115-144)
    Vrsta gradiva - članek, sestavni del
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18344025

    Povezava(-e):

    https://doi.org/10.1016/j.topol.2018.03.025
    DOI

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