Countable partitions of the sets of points and lines
Schmerl, James
Fundamenta Mathematicae, Tome 159 (1999), p. 183-196 / Harvested from The Polish Digital Mathematics Library
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The following theorem is proved, answering a question raised by Davies in 1963. If L0∪L1∪L2∪... is a partition of the set of lines of ℝn, then there is a partition ℝn=S0∪S1∪S2∪... such that |ℓ∩Si|≤2 whenever ℓ∈Li. There are generalizations to some other, higher-dimensional subspaces, improving recent results of Erdős, Jackson Mauldin.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212387 
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Schmerl, James. Countable partitions of the sets of points and lines. Fundamenta Mathematicae, Tome 159 (1999) pp. 183-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv160i2p183bwm/

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