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On the equivalence of measures on loop space

✍ Scribed by Vikram K. Srimurthy


Publisher
Springer
Year
2000
Tongue
English
Weight
179 KB
Volume
118
Category
Article
ISSN
1432-2064

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Let X be a simply connected ΓΏnite CW-complex such that dim \* (X ) βŠ— Q = ∞. 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