Manifolds that are not leaves of codimension one foliations

Published 11 Nov 2011 in math.GT and math.DG | (1111.2766v3)

Abstract: We present new open manifolds that are not homeomorphic to leaves of any C⁰ 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.

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