Tight cofinitary groups

IF 0.6 2区数学 Q2 LOGIC Annals of Pure and Applied Logic Pub Date : 2025-03-04 DOI:10.1016/j.apal.2025.103570

Vera Fischer , L. Schembecker , David Schrittesser

引用次数: 0

Abstract

We introduce the notion of a tight cofinitary group, which captures forcing indestructibility of maximal cofinitary groups for a long list of partial orders, including Cohen, Sacks, Miller, Miller partition forcing and Shelah's poset for diagonalizing maximal ideals. Introducing a new robust coding technique, we establish the relative consistency of

a_{g} = d < c = ℵ_{2}

alongside the existence of a

Δ_{3}^{1}

-well-order of the reals and a co-analytic witness for

a_{g}

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.

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