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

• Autorzy: Janusz Pawlikowski
• Języki publikacji: EN

Abstrakty

EN

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, $∪_{x ∈ X}F_x$ is null;
 • X has strong measure zero iff for all closed F ⊆ ℝ × ℝ with all vertical sections $F_x$ (x ∈ ℝ) null, $∪_{x ∈ X}F_x$ is null.

Kategorie tematyczne

• 03E15: Descriptive set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 153
• Numer: 3
• Strony: 277-293

Daty

wydano

1997

otrzymano

1996-09-04

poprawiono

1997-03-01

Twórcy

autor

Janusz Pawlikowski

• Department of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland,

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