A weakening of $\clubsuit $, with applications to topology

István Juhász

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The one-point Lindelöfication of an uncountable discrete space can be surlindelöf

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We prove that the one-point Lindelöfication of a discrete space of cardinality ω 1 is homeomorphic to a subspace of C p (X) for some hereditarily Lindelöf space X if the axiom [...] holds.

Distinguishing Lindelöfness and inverse Lindelöfness

Viacheslav I. Malykhin (1995)

Commentationes Mathematicae Universitatis Carolinae

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On $ω_{1}$ a Hausdorff inverse Lindelöf non Lindelöf topology has been constructed.

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Displaying similar documents to “A weakening of ♣ , with applications to topology”

The one-point Lindelöfication of an uncountable discrete space can be surlindelöf

Distinguishing Lindelöfness and inverse Lindelöfness

Compact C-spaces and S-spaces

Displaying similar documents to “A weakening of $♣$ , with applications to topology”