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

preprint2009arXivOpen access

We study model-theoretic stability and independence in Banach lattices of the form $L_p(X,U,μ)$ , where $1 \leq p < \infty$ . We characterize non-dividing using concepts from analysis and show that canonical bases exist as tuples of real elements.

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

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