Relating forcing relations

Michel Viana Smykalla; Hugo Luiz Mariano

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arXiv · 2605.26896

Relating forcing relations

Michel Viana Smykalla·Hugo Luiz Mariano

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Abstract

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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Michel Viana Smykalla, Hugo Luiz Mariano. 2026-05-26. Relating forcing relations. https://arxiv.org/abs/2605.26896

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