Number of the records: 1
The structure of Valdivia compact lines
- 1.
SYSNO ASEP 0342854 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The structure of Valdivia compact lines Author(s) Kalenda, O.F.K. (CZ)
Kubiś, Wieslaw (MU-W) RID, ORCID, SAISource Title Topology and its Applications. - : Elsevier - ISSN 0166-8641
Roč. 157, č. 7 (2010), s. 1142-1151Number of pages 10 s. Language eng - English Country NL - Netherlands Keywords valdivia compact line ; increasing map ; retraction Subject RIV BA - General Mathematics R&D Projects IAA100190901 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000276840900004 EID SCOPUS 77949485451 DOI 10.1016/j.topol.2010.02.001 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
Number of the records: 1