A Theorem on Directed Quasi-Ordered Sets and Some Remarks
Shang Zhi Wang, Bo Yu Li (1985)
Publications du Département de mathématiques (Lyon)
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Shang Zhi Wang, Bo Yu Li (1985)
Publications du Département de mathématiques (Lyon)
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Nailana, Koena Rufus (2001)
International Journal of Mathematics and Mathematical Sciences
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Ladislav Mišík (1965)
Czechoslovak Mathematical Journal
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Carlos Martinez-Ranero (2011)
Fundamenta Mathematicae
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We show that, assuming PFA, the class of all Aronszajn lines is well-quasi-ordered by embeddability.
David Buhagiar, Tanja Telenta (2007)
Mathematica Slovaca
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Daniel A. Romano (2007)
Kragujevac Journal of Mathematics
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Tomasz Natkaniec (1992)
Mathematica Slovaca
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Koena Rufus Nailana (2000)
Extracta Mathematicae
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In this paper we introduce and investigate the notions of point open order topology, compact open order topology, the order topology of quasi-uniform pointwise convergence and the order topology of quasi-uniform convergence on compacta. We consider the functorial correspondence between function spaces in the categories of topological spaces, bitopological spaces and ordered topological spaces. We obtain extensions to the topological ordered case of classical topological results on function...