Weak Rudin-Keisler reductions on projective ideals

Konstantinos A. Beros. "Weak Rudin-Keisler reductions on projective ideals." Fundamenta Mathematicae 232.1 (2016): 65-78. <http://eudml.org/doc/283293>.

@article{KonstantinosA2016,
abstract = {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.},
author = {Konstantinos A. Beros},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {1},
pages = {65-78},
title = {Weak Rudin-Keisler reductions on projective ideals},
url = {http://eudml.org/doc/283293},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Konstantinos A. Beros
TI - Weak Rudin-Keisler reductions on projective ideals
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 1
SP - 65
EP - 78
AB - 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.
LA - eng
UR - http://eudml.org/doc/283293
ER -