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arXiv · 2009.13870

Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids

Paul Z. Wang
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Abstract

Hrushovski's suggestion, given in ["Groupoids, imaginaries and internal covers," Turkish Journal of Mathematics , 2012], to capture the structure of the 1-analysable covers of a theory T using simplicial groupoids definable in T is realized here. The ideas of Haykazyan and Moosa, found in ["Functoriality and uniformity in Hrushovski's groupoid-cover correspondence," Annals of Pure and Applied Logic , 2018] are used, and extended, to define an equivalence of categories. Finally, a couple of examples are studied with these new tools.

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BibTeXRIS

Paul Z. Wang. 2020-09-29. Extending Hrushovski's groupoid-cover correspondence using simplicial groupoids. https://doi.org/10.1016/j.apal.2021.102970

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