Some Applications of the Katětov Order on Borel Ideals
Volume 64 / 2016
Bulletin Polish Acad. Sci. Math. 64 (2016), 21-28
MSC: Primary 03E05; Secondary 03E15, 26A21.
DOI: 10.4064/ba8055-6-2016
Published online: 11 July 2016
Abstract
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.
