Products of convergence properties
On left-separated compact spaces
On the sequential order
On a condition for the pseudo radiality of a product
A sufficient condition for the pseudo radiality of the product of two compact Hausdorff spaces is given.
Two improvements on Tkačenko's addition theorem
We prove that (A) if a countably compact space is the union of countably many subspaces then it is compact; (B) if a compact space is the union of fewer than = left-separated subspaces then it is scattered. Both (A) and (B) improve results of Tkačenko from 1979; (A) also answers a question that was raised by Arhangel’skiǐ and improves a result of Gruenhage.
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