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arXiv · 2203.12490

Towards constructivising the Freyd-Mitchell embedding theorem

Anna Giulia Montaruli
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Abstract

The aim of the paper is to first point out that the classical proof of the Freyd-Mitchell Embedding Theorem does not work in CZF; then, to propose an alternative embedding of a small abelian category into the category of sheaves of modules over a ringed space, which works constructively. It is necessary to mention that this work has been initially inspired by Erik Palmgren, who unexpectedly passed away in November 2019: I'm very grateful to him for having shared with me his intuitions, and for having supervised the realization of the first half of the paper.

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Anna Giulia Montaruli. 2022-03-23. Towards constructivising the Freyd-Mitchell embedding theorem. https://arxiv.org/abs/2203.12490

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