On the Betti numbers of the free loop sp
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Pascal Lambrechts
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Article
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2001
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Elsevier Science
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English
β 142 KB
Let X be a simply connected ΓΏnite CW-complex such that dim \* (X ) β Q = β. We prove that if X is coformal (this is an hypothesis coming from the rational homotopy theory) then the sequence of rational Betti numbers of its free loop space, (dim Hn(X S 1 ; Q)) nβ₯1 , has an exponential growth. Since t