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

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Abstract: <br>
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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