Model-theoretic independence in the Banach lattices $L_p(\mu)$

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Yaacov, Itaï Ben
Berenstein, Alexander
Henson, C. Ward
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Abstract
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We study model-theoretic stability and independence in Banach lattices of the form $L_p(X,U,\mu)$, where $1 \leq p < \infty$. We characterize non-dividing using concepts from analysis and show that canonical bases exist as tuples of real elements.
Keywords
Mathematics - Logic, 03C45, 03C90, 46B04, 46B42
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