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Imaginaries in Hilbert spaces

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Abstract.

We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Room 2-101, Cambridge, MA 02139-4307, USA

    Itay Ben-Yaacov

  2. University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801-2975, USA

    Alexander Berenstein

Authors
  1. Itay Ben-Yaacov
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  2. Alexander Berenstein
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Corresponding author

Correspondence to Alexander Berenstein.

Additional information

The authors would like to thank Frank Wagner and the CIRM for their hospitality during the Simpleton 2002 meeting during which the discussions that led to this paper took place.

The first author would like to thank Ilan Hirshberg for a few important hints

At the time of the writing of this paper, the first author was a graduate student with the Équipe de logique mathématique of Université Paris VII

Mathematics Subject Classification (2000): 03C45, 03C95

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Ben-Yaacov, I., Berenstein, A. Imaginaries in Hilbert spaces. Arch. Math. Logic 43, 459–466 (2004). https://doi.org/10.1007/s00153-003-0200-4

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  • DOI: https://doi.org/10.1007/s00153-003-0200-4

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