English

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

Logic 2014-02-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.0907.5273,
  title  = {Model-theoretic independence in the Banach lattices $L_p(\mu)$},
  author = {Itaï Ben Yaacov and Alexander Berenstein and C. Ward Henson},
  journal= {arXiv preprint arXiv:0907.5273},
  year   = {2014}
}