Title of article
An improper arithmetically closed Borel subalgebra of mod FIN
Author/Authors
Enayat، نويسنده , , Ali and Shelah، نويسنده , , Saharon، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
8
From page
2495
To page
2502
Abstract
We show the existence of a subalgebra A ⊆ P ( ω ) that satisfies the following three conditions:•
Borel (when P ( ω ) is identified with 2 ω ).
arithmetically closed (i.e., A is closed under the Turing jump, and Turing reducibility).
rcing notion ( A , ⊆ ) modulo the ideal FIN of finite sets collapses the continuum to ℵ 0 .
Keywords
Completely separable family , Tree indiscernible , Borel structure , forcing
Journal title
Topology and its Applications
Serial Year
2011
Journal title
Topology and its Applications
Record number
1583124
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