Forcing the Σ31-separation property-Reference-Cited by-同舟云学术

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Forcing the Σ31-separation property

Published:2022-06-22 Issue:02 Volume:22 Page:
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

Hoffelner Stefan¹

Affiliation:

1. Institut für Mathematische Logik und Grundlagenforschung, Universität Münster, Einsteinstraße 62, 48149 Münster, Germany

Abstract

We generically construct a model in which the [Formula: see text]-separation property is true, i.e. every pair of disjoint [Formula: see text]-sets can be separated by a [Formula: see text]-definable set. This answers an old question from the problem list “Surrealist landscape with figures” by A. Mathias from 1968. We also construct a model in which the (lightface) [Formula: see text]-separation property is true.

Funder

separation property

Publisher

World Scientific Pub Co Pte Ltd

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061322500088

Reference12 articles.

1. A very absolute Π21 real singleton

2. Cardinal characteristics and projective wellorders

3. Δ1-Definability of the non-stationary ideal at successor cardinals

4. NS SATURATED AND -DEFINABLE

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Forcing axioms and the uniformization-property;Annals of Pure and Applied Logic;2024-12

2. Forcing the Π31-reduction property and a failure of Π31-uniformization;Annals of Pure and Applied Logic;2023-08

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