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- W2025735162 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 restrictions on the possible topology of a leaf. There are also uncountably many nonexponential growth types, dominating all polynomials, that can be realized by leaves at finite level ([5], (5.1)), so the topology of these leaves is similarly restricted. These same nonexponential types can be realized at infinite level also [ll], in which case the non&xponential condition has no influence on the possible structure of the endset 8(L). Indeed," @default.
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- W2025735162 date "1982-01-01" @default.
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- W2025735162 title "Endsets of leaves" @default.
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