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  • Universal nowhere dense and meager sets in Menger manifolds
    Banakh, Taras, 1968- ; Repovš, Dušan, 1954-
    In each Menger manifold ▫$M$▫ we construct: (i) a closed nowhere dense subset ▫$M_0$▫ which is homeomorphic to ▫$M$▫ and is universal nowhere dense in the sense that for each nowhere dense set ▫$A ... \subset M$▫ there is a homeomorphism ▫$h$▫ of ▫$M$▫ such that ▫$h(A) \subset M_0$▫; (ii) a meager ▫$F_\sigma$▫-set ▫$\Sigma_0 \subset M$▫ which is universal meager in the sense that for each meager subset ▫$B \subset M$▫ there is a homeomorphism ▫$h$▫ of ▫$M$▫ such that ▫$h(B) \subset \Sigma_0$▫.Also we prove that any two universal meager ▫$F_\sigma$▫-sets in ▫$M$▫ are ambiently homeomorphic.
    Vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 161, iss. 1, 2014, str. 127-140)
    Vrsta gradiva - članek, sestavni del
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 16790361

    Povezava(-e):

    http://dx.doi.org/10.1016/j.topol.2013.09.012

vir: Topology and its Applications. - ISSN 0166-8641 (Vol. 161, iss. 1, 2014, str. 127-140)
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