Hereditary screenableness and its Tychonoff products
It is known that a space \(X\) is hereditarily metacompact (metalindelöf) iff every scattered partition of \(X\) has a point-finite (point-countable) open expansion. The author observes that similar reasonings lead to a characterization of hereditarily screenable spaces and he uses this characterization to obtain some product theorems for hereditarily screenable spaces. Reviewer's remark: The proper references to the results cited in the first paragraph of the review are: Proposition 3.8 in [\textit{H. J. K. Junnila}, in `Surveys in general topology', 195-245 (1980; Zbl 0449.54018)] and Theorem 8.1 in [\textit{G. Gruenhage, E. Michael} and \textit{Y. Tanaka}, Pac. J. Math. 113, 303-332 (1984; Zbl 0561.54016)].
scientific article; zbMATH DE number 1308039