Abstract: INTRODUCTION LET M BE a closed, orientable n-manifold, C2-foliated by continuously orientable manifolds of dimension n 1, and let L be a leaf. The space 8(L) of ends of L [l] is a compact, totally disconnected, metrizable space that is a topological invariant of the manifold L. If L has nonexponential growth and lies at finite level k (PO), then the derived set $‘k”‘(L) is empty ([5], (3.6) and (3.7)). Leaves with growth dominated by a polynomial of degree k must lie at level at most k ([4], Lemma 4), hence polynomial growth places severe...
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Topics: 
Pure mathematics