Two set-theoretic problems in topology
Juhász, I.
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Displaying similar documents to “The sup = max problem for the extent of generalized metric spaces”
Two set-theoretic problems in topology
Property and dominating families
Samuel Gomes da Silva (2005)
Commentationes Mathematicae Universitatis Carolinae
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Generalizations of earlier negative results on Property are proved and two questions on an -version of Jones’ Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions “ is regular” and “” the existence of a separable locally compact -space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal...
Extensions of metrization theorems to higher cardinality
Richard Hodel (1975)
Fundamenta Mathematicae
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A note on discrete sets
Santi Spadaro (2009)
Commentationes Mathematicae Universitatis Carolinae
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We give several partial positive answers to a question of Juhász and Szentmiklóssy regarding the minimum number of discrete sets required to cover a compact space. We study the relationship between the size of discrete sets, free sequences and their closures with the cardinality of a Hausdorff space, improving known results in the literature.
The -topology and incompactness of
Isaac Gorelic (1996)
Commentationes Mathematicae Universitatis Carolinae
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We establish a relation between covering properties (e.gĿindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries.