Normal hyperimaginaries

Details Normal hyperimaginaries Normal hyperimaginaries

2011-12-09

arxiv.org/abs/1112.2049v2

Mathematics

Logic

Scientific paper

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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