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The free loop space of globally symmetric spaces

✍ Scribed by Wolfgang Ziller

Publisher
Springer-Verlag
Year
1977
Tongue
English
Weight
1014 KB
Volume
41
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES

On the Betti numbers of the free loop sp
On the Betti numbers of the free loop space of a coformal space
✍ Pascal Lambrechts πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 142 KB

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