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  • Abundance of ▫$\sigma$▫-compact non-compactly generated groups witnessed by the Bohr topology of an abelian group
    Dikranjan, Dikran N., 1950- ; Shakhmatov, Dmitri
    Answering negatively a question of Fujita and Shakhmatov, Tkachenko and Torres Falcón have constructed an example of a countable (and thus, ▫$\sigma$▫-compact) totally bounded group that is not ... compactly generated. We observe that any countable non-finitely generated abelian group ▫$G$▫ equipped with its Bohr topology fails to be compactly generated, thereby obtaining an abundant supply of totally bounded groups providing a counter-example to the question of Fujita and Shakhmatov.
    Vir: Suuri kaiseki kenkyuujo koukyuuroku. - ISSN 1880-2818 (Vol. 1578, 2008, str. 16-18)
    Vrsta gradiva - članek, sestavni del
    Leto - 2008
    Jezik - angleški
    COBISS.SI-ID - 14678361