Weak Rudin-Keisler reductions on projective ideals

• Autorzy: Konstantinos A. Beros
• Języki publikacji: EN

Abstrakty

EN

We consider a slightly modified form of the standard Rudin-Keisler order on ideals and demonstrate the existence of complete (with respect to this order) ideals in various projective classes. Using our methods, we obtain a simple proof of Hjorth's theorem on the existence of a complete Π¹₁ equivalence relation. This proof enables us (under PD) to generalize Hjorth's result to the classes of $Π¹_{2n+1}$ equivalence relations.

Kategorie tematyczne

• 03E60: Determinacy principles
• 03E05: Other combinatorial set theory
• 03E15: Descriptive set theory
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 232
• Numer: 1
• Strony: 65-78

Daty

wydano

2016

Twórcy

autor

Konstantinos A. Beros

• Department of Mathematics, University of North Texas, General Academics Building 435, 1155 Union Circle, #311430, Denton, TX 76203-5017, U.S.A.

Identyfikatory

DOI

10.4064/fm232-1-5