On the Phragmén-Lindelöf principle for a polyangle
Malay Sen (1971)
Annales Polonici Mathematici
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Malay Sen (1971)
Annales Polonici Mathematici
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Yan-Kui Song (2008)
Czechoslovak Mathematical Journal
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G. Reed (1980)
Fundamenta Mathematicae
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I. Lončar (1985)
Matematički Vesnik
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A. V. Arhangel'skii (2013)
Fundamenta Mathematicae
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We continue the study of remainders of metrizable spaces, expanding and applying results obtained in [Fund. Math. 215 (2011)]. Some new facts are established. In particular, the closure of any countable subset in the remainder of a metrizable space is a Lindelöf p-space. Hence, if a remainder of a metrizable space is separable, then this remainder is a Lindelöf p-space. If the density of a remainder Y of a metrizable space does not exceed , then Y is a Lindelöf Σ-space. We also show...
Todd Eisworth, Gary Gruenhage, Oleg Pavlov, Paul Szeptycki (2004)
Fundamenta Mathematicae
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Natural weakenings of uniformizability of a ladder system on ω₁ are considered. It is shown that even assuming CH all the properties may be distinct in a strong sense. In addition, these properties are studied in conjunction with other properties inconsistent with full uniformizability, which we call anti-uniformization properties. The most important conjunction considered is the uniformization property we call countable metacompactness and the anti-uniformization property we call thinness....
Dániel T. Soukup, Paul J. Szeptycki (2013)
Fundamenta Mathematicae
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We construct from ⋄ a T₂ example of a hereditarily Lindelöf space X that is not a D-space but is the union of two subspaces both of which are D-spaces. This answers a question of Arhangel'skii.
H. H. Hung (1984)
Colloquium Mathematicae
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J. Chaber (1984)
Fundamenta Mathematicae
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Judy Roitman (1979)
Fundamenta Mathematicae
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Harley, P.W. III (1989)
Portugaliae mathematica
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Ernest A. Michael (1971)
Compositio Mathematica
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