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arXiv · 1702.03399

Toposes from Forcing for Intuitionistic ZF with Atoms

Keita Yamamoto
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Abstract

We introduce the forcing model of IZFA (Intuitionistic Zermelo-Fraenkel set theory with Atoms) for every Grothendieck topology and prove that the topos of sheaves on every site is equivalent to the category of 'sets in this forcing model'.

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Keita Yamamoto. 2017-02-11. Toposes from Forcing for Intuitionistic ZF with Atoms. https://arxiv.org/abs/1702.03399

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