Počet záznamů: 1

The structure of Valdivia compact lines

  1. 1.
    0342854 - MU-W 2011 RIV NL eng J - Článek v odborném periodiku
    Kalenda, O.F.K. - Kubiś, Wieslaw
    The structure of Valdivia compact lines.
    Topology and its Applications. Roč. 157, č. 7 (2010), s. 1142-1151 ISSN 0166-8641
    Grant CEP: GA AV ČR IAA100190901
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: valdivia compact line * increasing map * retraction
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.447, rok: 2010

    We study linearly ordered spaces which are Valdivia compact in their order topology. We find an internal characterization of these spaces and we present a counter-example disproving a conjecture posed earlier by the first author. The conjecture asserted that a compact line is Valdivia compact if its weight does not exceed 8(1), every point of uncountable character is isolated from one side and every closed first countable subspace is metrizable. It turns out that the last condition is not sufficient. On the other hand, we show that the conjecture is valid if the closure of the set of points of uncountable character is scattered. This improves an earlier result of the first author.
    Trvalý link: http://hdl.handle.net/11104/0185473
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