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Groupoids and Relative Internality

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Groupoids and Relative Internality
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22
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We prove that in a stable theory, some 2-analysable types give rise to type definable groupoids, with some simplicial data attached to them, extending a well-know result linking groups to internal types. We then investigate how properties of these groupoids relate to properties of types. In particular, we expose some internality criteria.