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The structure of Valdivia compact lines
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SYSNO ASEP 0342854 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název The structure of Valdivia compact lines Tvůrce(i) Kalenda, O.F.K. (CZ)
Kubiś, Wieslaw (MU-W) RID, ORCID, SAIZdroj.dok. Topology and its Applications. - : Elsevier - ISSN 0166-8641
Roč. 157, č. 7 (2010), s. 1142-1151Poč.str. 10 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova valdivia compact line ; increasing map ; retraction Vědní obor RIV BA - Obecná matematika CEP IAA100190901 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000276840900004 EID SCOPUS 77949485451 DOI 10.1016/j.topol.2010.02.001 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
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