Ideal Analytic Sets
Abstract
ABSTRACT The aim of this study is to give natural examples of ‐complete and ‐complete sets. In the first part, we consider ideals on . We use a unified approach introduced in [4] to create reductions of the collection of ill‐founded trees to the ideals, proving ‐completeness of the ideals. In the second part, we show the connection between this topic, families of trees and coding of ‐ideals of Polish spaces. In particular, we use the unified approach to prove that sets of codes for closed Ramsey‐null sets, for closed ‐compact sets and for closed not strongly dominating sets are ‐complete.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Rings
Modules
and Algebras
Advanced Topology and Set Theory
Publication details
- Journal / source
- Mathematical logic quarterly
- Volume
- 72
- Issue
- 1
- Publication date
- 1 February 2026
- Language
- EN