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Article

Gorelic, Isaac
The $G_\delta$-topology and incompactness of $\omega^\alpha$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 613-616
MSC: 45B10, 54A25, 54D20 | MR 1426925 | Zbl 0881.54023
Keywords:
Lindelöf degree; $G_\delta$ topology; cardinal functions
Summary:
We establish a relation between covering properties (e.g\. Lindelöf degree) of two standard topological spaces (Lemmas 4 and 5). Some cardinal inequalities follow as easy corollaries.
References:
[1] Kunen K.: Box products of ordered spaces. Topology and its applications 20 (1985). MR 0804037 | Zbl 0583.54005
[2] Mycielski J.: $\alpha$-incompactness of $N^\alpha$. Bull. Acad. Pol., vol.XII, no.8, 1964. MR 0211871
[3] Łoś J.: Linear equations and pure subgroups. Bull. Acad. Polon. Sci. 7 (1959). MR 0103922
[4] Juhàsz I.: On closed discrete subspaces of product spaces. Bull. Acad. Pol., vol.XVII, no.4, 1969. MR 0254808
[5] Todorcevi\`c S.: Incompactness of $\Bbb N^\theta$. Handwritten notes, 1990.
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