On some properties of squares of Sierpiński sets
Andrzej Nowik
Colloquium Mathematicae, Tome 100 (2004), p. 221-229 / Harvested from The Polish Digital Mathematics Library
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We investigate some geometrical properties of squares of special Sierpiński sets. In particular, we prove that (under CH) there exists a Sierpiński set S and a function p: S → S such that the images of the graph of this function under π'(⟨x,y⟩) = x - y and π''(⟨x,y⟩) = x + y are both Lusin sets.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284384 
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     year = {2004},
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Andrzej Nowik. On some properties of squares of Sierpiński sets. Colloquium Mathematicae, Tome 100 (2004) pp. 221-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-7/