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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F10%3A00342854%21RIV11-AV0-67985840
rdf:type
skos:Concept n18:Vysledek
dcterms:description
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. 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.
dcterms:title
The structure of Valdivia compact lines The structure of Valdivia compact lines
skos:prefLabel
The structure of Valdivia compact lines The structure of Valdivia compact lines
skos:notation
RIV/67985840:_____/10:00342854!RIV11-AV0-67985840
n3:aktivita
n12:Z n12:P
n3:aktivity
P(GA201/06/0018), P(IAA100190901), Z(AV0Z10190503), Z(MSM0021620839)
n3:cisloPeriodika
7
n3:dodaniDat
n9:2011
n3:domaciTvurceVysledku
n17:2331640
n3:druhVysledku
n16:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
290520
n3:idVysledku
RIV/67985840:_____/10:00342854
n3:jazykVysledku
n15:eng
n3:klicovaSlova
valdivia compact line; increasing map; retraction
n3:klicoveSlovo
n6:increasing%20map n6:retraction n6:valdivia%20compact%20line
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[2B013ED8BC34]
n3:nazevZdroje
Topology and its Applications
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:GA201%2F06%2F0018 n7:IAA100190901
n3:rokUplatneniVysledku
n9:2010
n3:svazekPeriodika
157
n3:tvurceVysledku
Kubiś, Wieslaw Kalenda, O. F. K.
n3:wos
000276840900004
n3:zamer
n8:MSM0021620839 n8:AV0Z10190503
s:issn
0166-8641
s:numberOfPages
10