On the Uniform Projection and Covering Problems in Descriptive Set Theory Under the Axiom of Constructibility

被引：0
|
作者：
Kanovei, Vladimir [1 ]
Lyubetsky, Vassily [1 ]
机构：
[1] Russian Acad Sci, Kharkevich Inst, Inst Informat Transmiss Problems, Moscow 127051, Russia
来源：
MATHEMATICS | 2025年 / 13卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
constructibility; projective hierarchy; uniform sets; projections; covering;
D O I：
10.3390/math13030409
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following two consequences of the axiom of constructibility V=L will be established for every n >= 3: 1. Every linear Sigma n1 set is the projection of a uniform planar Pi n-11 set. 2. There is a planar Pi n-11 set with countable cross-sections not covered by a union of countably many uniform Sigma n1 sets. If n=2 then claims 1 and 2 hold in ZFC alone, without the assumption of V=L.
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页数：15
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