On some properties of squares of Sierpiński sets

• Autorzy: Andrzej Nowik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28E15: Other connections with logic and set theory
• 03E15: Descriptive set theory
• 03E20: Other classical set theory (including functions, relations, and set algebra)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 2
• Strony: 221-229

Daty

wydano

2004

Twórcy

autor

Andrzej Nowik

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
• Faculty of Applied Physics and Mathematics, Technical University of Gdańsk, Gabriela Narutowicza 11/12, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/cm99-2-7