Property C'', strong measure zero sets and subsets of the plane

Pawlikowski, Janusz

Fundamenta Mathematicae, Tome 154 (1997), p. 277-293 / Harvested from The Polish Digital Mathematics Library

Résumé

Let X be a set of reals. We show that • X has property C" of Rothberger iff for all closed F ⊆ ℝ × ℝ with vertical sections $F_{x}$ (x ∈ X) null, $\cup_{x \in X} F_{x}$ is null; • X has strong measure zero iff for all closed F ⊆ ℝ × ℝ with all vertical sections $F_{x}$ (x ∈ ℝ) null, $\cup_{x \in X} F_{x}$ is null.

Publié le : 1997-01-01

Zbl 0884.04002

EUDML-ID : urn:eudml:doc:212224

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     author = {Janusz Pawlikowski},
     title = {Property C'', strong measure zero sets and subsets of the plane},
     journal = {Fundamenta Mathematicae},
     volume = {154},
     year = {1997},
     pages = {277-293},
     zbl = {0884.04002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv153i3p277bwm}
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Pawlikowski, Janusz. Property C'', strong measure zero sets and subsets of the plane. Fundamenta Mathematicae, Tome 154 (1997) pp. 277-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv153i3p277bwm/

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