The sizes of relatively compact $T_1$-spaces

Winfried Just

The $G_{δ}$ -topology and incompactness of $ω^{α}$

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.

Spaces with large star cardinal number

Yan-Kui Song (2012)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we prove the following statements: (1) For any cardinal $κ$ , there exists a Tychonoff star-Lindelöf space $X$ such that $a (X) \geq κ$ . (2) There is a Tychonoff discretely star-Lindelöf space $X$ such that $a a (X)$ does not exist. (3) For any cardinal $κ$ , there exists a Tychonoff pseudocompact $σ$ -starcompact space $X$ such that $st - l (X) \geq κ$ .

Displaying similar documents to “The sizes of relatively compact T 1 -spaces”

The G δ -topology and incompactness of ω α

Spaces with large star cardinal number

Displaying similar documents to “The sizes of relatively compact $T_{1}$ -spaces”

The $G_{δ}$ -topology and incompactness of $ω^{α}$