On some properties of Hurewicz, Menger, and Rothberger, Fundamenta Mathematicae, 129(1988), 17-33. (with David Fremlin)

The authors show that assuming the Continuum Hypothesis there are no nontrivial implications involving the properties of Rothberger C,C',C'' (C=strong measure zero) and Hurewicz H and Menger M. They also show that C'' is equivalent to have strong measure with respect to every compatible metric.

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