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I need the english translation of the article (or book) by jean-Pierre Serre in French on the topic Homologie singulière des espaces fibrés
I am interested in understanding about this conjecture: there exist infinitely many geodesics between two points on a closed Riemannian manifold. Does there exist a translation?

Links to the French original:

On JSTOR http://www.jstor.org/discover/10.2307/1969485?uid=3738016&uid=2129&uid=2&uid=70&uid=4&sid=21102499009897

or see also http://www.maths.ed.ac.uk/~aar/papers/serre.pdf‎

Related post: Translations of Serre's early spectral sequences papers

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  • $\begingroup$ possible duplicate of Translations of Serre's early spectral sequences papers $\endgroup$
    – Did
    Jul 1, 2013 at 8:08
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    $\begingroup$ To close this because it would be "unclear what you're asking" strikes me as rather odd. $\endgroup$
    – Did
    Jul 1, 2013 at 8:12
  • $\begingroup$ How about the manifold $S^1$? I think you may need to consider your intended question more carefully $\endgroup$
    – Yemon Choi
    Jul 1, 2013 at 8:27
  • $\begingroup$ I voted to close because this question does not show adequate care or forethought before asking it, see meta.mathoverflow.net/questions/203 $\endgroup$
    – Yemon Choi
    Jul 1, 2013 at 8:35
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    $\begingroup$ $S^1$ is fine: take the segment between the points and concatenate with multiples of the closed geodesic. This is a problem of critical points in the loop space, so going around many times is allowed. $\endgroup$
    – alvarezpaiva
    Jul 1, 2013 at 8:39

1 Answer 1

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this is Serre's Ph.D. thesis; it has been translated into english but only the introduction is available for free:

http://www.worldscientific.com/doi/suppl/10.1142/8444/suppl_file/8444_chap01.pdf

the remaining 100 pages are behind a £ 20 paywall:

http://www.worldscientific.com/doi/pdf/10.1142/9789814401319_0001

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