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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1112.2049: pdf, ps.