Displaying similar documents to “Weakly infinite-dimensional compactifications and countable-dimensional compactifications”

On weakly bisequential spaces

Chuan Liu (2000)

Commentationes Mathematicae Universitatis Carolinae

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Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces.

On n -in-countable bases

S. A. Peregudov (2000)

Commentationes Mathematicae Universitatis Carolinae

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Some results concerning spaces with countably weakly uniform bases are generalized for spaces with n -in-countable ones.

Note on countable unions of Corson countably compact spaces

Ondřej F. K. Kalenda (2004)

Commentationes Mathematicae Universitatis Carolinae

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We show that a compact space K has a dense set of G δ points if it can be covered by countably many Corson countably compact spaces. If these Corson countably compact spaces may be chosen to be dense in K , then K is even Corson.