Nowhere simplicity in matroids
Rodney G. Downey · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1983
Abstract We examine the concepts of nowhere simplicity in a wide class of abstract dependence systems. Initially we examine how many of the existing results valid for L(ω), the lattice of r.e. sets, have analogues valid for more general lattices. For example, we show that any r. e. subspace of V∞ can be decomposed into a pair of nowhere simple subspaces.