Geodesic
Some Applications of the Katětov Order on Borel Ideals
Nikodem Mrożek1
1 Institute of Mathematics Faculty of Mathematics, Physics, and Informatics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 21-28

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We construct an embedding of the algebra $\mathcal {P}(\omega )/\mathrm {Fin}$ into the family of summable ideals with the Katětov order. This construction will be used to solve two problems: about the relation between the Katětov order and the ideal Baire classes of functions, and about long chains of ideals alternately with and without the property of being a P-ideal.
DOI : 10.4064/ba8055-6-2016
Mots-clés : construct embedding algebra mathcal omega mathrm fin family summable ideals kat tov order construction solve problems about relation between kat tov order ideal baire classes functions about long chains ideals alternately without property being p ideal

Nikodem Mrożek 1

1 Institute of Mathematics Faculty of Mathematics, Physics, and Informatics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
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Nikodem Mrożek. Some Applications of the Katětov Order on Borel Ideals. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 21-28. doi: 10.4064/ba8055-6-2016

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