Relating forcing relations

Fuente: arXiv
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Autores principales: Smykalla, Michel Viana, Mariano, Hugo Luiz
Formato: Preprint
Publicado: 2026
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author Smykalla, Michel Viana
Mariano, Hugo Luiz
author_facet Smykalla, Michel Viana
Mariano, Hugo Luiz
contents Forcing was first introduced by Paul J. Cohen in his work on the independence of the Continuum Hypothesis. Other formulations of forcing appeared using Model Theory, Boolean-valued Models, and Topos Theory. There is a folkloric claim that these three approaches are equivalent, at least at the level of their mathematical content. In this work, we present some results not found in the literature toward establishing connections between these versions of forcing.
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id arxiv_https___arxiv_org_abs_2605_26896
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Relating forcing relations
Smykalla, Michel Viana
Mariano, Hugo Luiz
Logic
Forcing was first introduced by Paul J. Cohen in his work on the independence of the Continuum Hypothesis. Other formulations of forcing appeared using Model Theory, Boolean-valued Models, and Topos Theory. There is a folkloric claim that these three approaches are equivalent, at least at the level of their mathematical content. In this work, we present some results not found in the literature toward establishing connections between these versions of forcing.
title Relating forcing relations
topic Logic
url https://arxiv.org/abs/2605.26896