# Strongly meager sets and subsets of the plane

Fundamenta Mathematicae (1998)

- Volume: 156, Issue: 3, page 279-287
- ISSN: 0016-2736

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topPawlikowski, Janusz. "Strongly meager sets and subsets of the plane." Fundamenta Mathematicae 156.3 (1998): 279-287. <http://eudml.org/doc/212273>.

@article{Pawlikowski1998,

abstract = {Let $X ⊆ 2^w$. Consider the class of all Borel $F ⊆ X×2^w$ with null vertical sections $F_x$, x ∈ X. We show that if for all such F and all null Z ⊆ X, $∪_\{x ∈ Z\}F_x$ is null, then for all such F, $∪_\{x ∈ X\}F_x≠2^w$. The theorem generalizes the fact that every Sierpiński set is strongly meager and was announced in [P].},

author = {Pawlikowski, Janusz},

journal = {Fundamenta Mathematicae},

keywords = {null set; Borel set; strongly meager set},

language = {eng},

number = {3},

pages = {279-287},

title = {Strongly meager sets and subsets of the plane},

url = {http://eudml.org/doc/212273},

volume = {156},

year = {1998},

}

TY - JOUR

AU - Pawlikowski, Janusz

TI - Strongly meager sets and subsets of the plane

JO - Fundamenta Mathematicae

PY - 1998

VL - 156

IS - 3

SP - 279

EP - 287

AB - Let $X ⊆ 2^w$. Consider the class of all Borel $F ⊆ X×2^w$ with null vertical sections $F_x$, x ∈ X. We show that if for all such F and all null Z ⊆ X, $∪_{x ∈ Z}F_x$ is null, then for all such F, $∪_{x ∈ X}F_x≠2^w$. The theorem generalizes the fact that every Sierpiński set is strongly meager and was announced in [P].

LA - eng

KW - null set; Borel set; strongly meager set

UR - http://eudml.org/doc/212273

ER -

## References

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