Manifolds that are not leaves of codimension one foliations
arXiv:1111.2766
Abstract
We present new open manifolds that are not homeomorphic to leaves of any C^0 codimension one foliation of a compact manifold. Among them are simply connected manifolds of dimension 5 or greater that are non-periodic in homotopy or homology, namely in their 2-dimensional homotopy or homology groups.
arXiv comment16 pages with 2 figures. This new version gives stronger results for codimension one non-leaves