On hereditarily α-Lindelöf and α-separable spaces, II
A. Hajnal, Istvan Juhász (1974)
Fundamenta Mathematicae
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Displaying similar documents to “Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces”
On hereditarily α-Lindelöf and α-separable spaces, II
Around Katětov's metrization theorem
Heikki J. K. Junnila (1988)
Commentationes Mathematicae Universitatis Carolinae
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An answer to a question on hyperspaces
Giuliano Artico, Roberto Moresco (1981)
Rendiconti del Seminario Matematico della Università di Padova
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The union of two D-spaces need not be D
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.
Normality and Martin's axiom
K. Alster, T. Przymusiński (1976)
Fundamenta Mathematicae
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Products of perfectly normal spaces
Teodor Przymusiński (1980)
Fundamenta Mathematicae
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On spaces whose product with every Lindelöf space is Lindelöf
Kazimierz Alster (1987)
Colloquium Mathematicae
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Paracompactness and the Lindelöf property in finite and countable cartesian products
Ernest A. Michael (1971)
Compositio Mathematica
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Cylinders over λ-dendroids have the fixed point property
Roman Mańka (2002)
Fundamenta Mathematicae
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It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].
Applications of some strong set-theoretic axioms to locally compact T₅ and hereditarily scwH spaces
Peter J. Nyikos (2003)
Fundamenta Mathematicae
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Under some very strong set-theoretic hypotheses, hereditarily normal spaces (also referred to as T₅ spaces) that are locally compact and hereditarily collectionwise Hausdorff can have a highly simplified structure. This paper gives a structure theorem (Theorem 1) that applies to all such ω₁-compact spaces and another (Theorem 4) to all such spaces of Lindelöf number ≤ ℵ₁. It also introduces an axiom (Axiom F) on crowding of functions, with consequences (Theorem 3) for the crowding of...