4.4 Article

Model-theoretic independence in the banach lattices L p (Aμ)

Journal

ISRAEL JOURNAL OF MATHEMATICS
Volume 183, Issue 1, Pages 285-320

Publisher

HEBREW UNIV MAGNES PRESS
DOI: 10.1007/s11856-011-0050-4

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Funding

  1. CNRS-UIUC
  2. ANR [ANR-06-CEXC-007]
  3. NSF [DMS-0100979, DMS-0140677, DMS-0555904]

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We study model-theoretic stability and independence in Banach lattices of the form L (p) (X, U, A mu), where 1 a parts per thousand currency sign p < a. We characterize non-dividing using concepts from analysis and show that canonical bases exist as tuples of real elements.

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