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Preprint Number 390

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390. Enrique Casanovas, Joris Potier
Normal hyperimaginaries
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Submission date: 9 December 2011.

Abstract:

We introduce the notion of normal hyperimaginary and we develop its basic theory. We present a new proof of Lascar-Pillay's theorem on bounded hyperimaginaries based on properties of normal hyperimaginaries. However, the use of Peter-Weyl's theorem on the structure of compact Hausdorff groups is not completely eliminated from the proof.

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Full text arXiv 1112.2049: pdf, ps.


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