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Coverings, Networks and Weak Topologies

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    0084679 - MÚ 2008 RIV GB eng J - Journal Article
    Dow, A. - Junnila, H. - Pelant, Jan
    Coverings, Networks and Weak Topologies.
    [Pokrytí, sítě a slabé topologie.]
    Mathematika. Roč. 53, č. 2 (2006), s. 287-320. ISSN 0025-5793
    R&D Projects: GA ČR GA201/97/0216
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : Banach spaces * weak topologies * networks topologies
    Subject RIV: BA - General Mathematics

    Weak topologies of Banach spaces and point-wise topologies of C(K)-spaces are studied (here K is a compact space). The following negative results on covering properties are proved: the Banach space l.INFIN. is not .sigma.-relatively metacompact in its weak topology;the space C(.beta.N) is not .sigma.-ralatively metacompact in its point-wise topology.

    Je ukázáno, že Banachovy prostory l:INFIN. se slabou topologií a C(.beta.N) s topologií bodové konvergence nejsou .sigma.-relativně metakompaktní.
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