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An asymptotic formula for the ranks of homotopy groups |
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| Authors: | Yves Felix Jean-Claude Thomas |
| Institution: | a Université Catholique de Louvain, 1348, Louvain-La-Neuve, Belgium b University of Maryland, College Park, MD 20742-3281, USA c Université d'Angers, 49045 Bd Lavoisier, Angers, France |
| Abstract: | Let X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;Q) is the universal enveloping algebra of a graded Lie algebra LX isomorphic with π∗−1(X)⊗Q. Let QX⊂LX be a minimal generating subspace, and set  .Theorem: If dimLX=∞ and  , then |
| Keywords: | 55P35 55P62 17B70 |
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