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

##### Authors
Yaacov, Itaï Ben
Berenstein, Alexander
Henson, C. Ward
##### Description
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