Preserving Dependent Choice

Asaf Karagila

doi:10.4064/ba8169-12-2018

Preserving Dependent Choice

Asaf Karagila

Research output: Contribution to journal › Article › peer-review

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Abstract

We prove some general theorems for preserving Dependent Choice when taking symmetric extensions, some of which are unwritten folklore results. We apply these to various constructions to obtain various simple consistency proofs.

Original language	English
Article number	19-29
Journal	Bulletin of the Polish Academy of Sciences Mathematics
Volume	67
Early online date	1 Feb 2019
DOIs	https://doi.org/10.4064/ba8169-12-2018
Publication status	Published - 2019

Keywords

symmetric extensions
dependent choice
the axiom of choice

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10.4064/ba8169-12-2018

Accepted_ManuscriptAccepted author manuscript, 179 KB

https://arxiv.org/abs/1810.11301

High Forcing Axioms: Forcing Axioms for the Uncountable. Newton International Fellowship
Aspero, D. (Principal Investigator) & Karagila, A. (Co-Investigator)
Royal Society
1/03/18 → 31/03/20
Project: Fellowship

Cite this

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title = "Preserving Dependent Choice",

abstract = "We prove some general theorems for preserving Dependent Choice when taking symmetric extensions, some of which are unwritten folklore results. We apply these to various constructions to obtain various simple consistency proofs.",

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volume = "67",

journal = "Bulletin of the Polish Academy of Sciences Mathematics",

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KW - symmetric extensions

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KW - the axiom of choice

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DO - 10.4064/ba8169-12-2018

M3 - Article

SN - 1732-8985

VL - 67

JO - Bulletin of the Polish Academy of Sciences Mathematics

JF - Bulletin of the Polish Academy of Sciences Mathematics

M1 - 19-29

ER -

Preserving Dependent Choice

Abstract

Keywords

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Projects

High Forcing Axioms: Forcing Axioms for the Uncountable. Newton International Fellowship

Cite this