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A note on remote points. (English) Zbl 0612.54027
All spaces are Tikhonov. A point $$p\in \beta X$$ is a remote point of X if $$p\not\in cl_{\beta X}A$$ for every nowhere dense subset A of X. The author generalizes a result of T. Terada [Proc. Am. Math. Soc. 77, 264-266 (1979; Zbl 0432.54023)] by showing that if no discrete cellularly embedded subset of X has Ulam-measurable cardinality, then no point of $$\psi$$ X-X is a remote point of X.
Reviewer: J.van Mill

##### MSC:
 54D40 Remainders in general topology