On some properties of squares of Sierpiński sets
Colloquium Mathematicae (2004)
- Volume: 99, Issue: 2, page 221-229
- ISSN: 0010-1354
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topAndrzej Nowik. "On some properties of squares of Sierpiński sets." Colloquium Mathematicae 99.2 (2004): 221-229. <http://eudml.org/doc/284384>.
@article{AndrzejNowik2004,
abstract = {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.},
author = {Andrzej Nowik},
journal = {Colloquium Mathematicae},
keywords = {Sierpiński set; Lusin set; measure; category},
language = {eng},
number = {2},
pages = {221-229},
title = {On some properties of squares of Sierpiński sets},
url = {http://eudml.org/doc/284384},
volume = {99},
year = {2004},
}
TY - JOUR
AU - Andrzej Nowik
TI - On some properties of squares of Sierpiński sets
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 221
EP - 229
AB - 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.
LA - eng
KW - Sierpiński set; Lusin set; measure; category
UR - http://eudml.org/doc/284384
ER -
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