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MessagePosté le: Lun 31 Oct - 23:05 (2016) Répondre en citantRevenir en haut

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This scenario is uninteresting from the point of view of this theorem, and physically unrealistic (there will always be wind). Therefore, they all have Lefschetz number 2, also. The difference between even and odd dimensions is that, because the only nonzero Betti numbers of the m-sphere are b0 and bm, their alternating sum is 2 for m even, and 0 for m odd. It also allows you to accept potential citations to this item that we are uncertain about. doi:10.2307/2320587. "A Proof of the Hairy Ball Theorem". Bibliographic Info Paper provided by Universit Panthon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 14051. Downloads: (external link)ftp://mse.univ-paris1.fr/pub/mse/CES2014/14051.pdf (application/pdf) .

See Chapter 19, "Combing the Hair on a Coconut", pp.202218. the Lefschetz number (total trace on homology) of the identity mapping is 2. Mathematical consistency dictates the wind forms a cyclonic wind pattern for at least one point on the planet, but this does not require the cyclone be a violent storm. Cyclone consequences[edit]. File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2014/14051.pdfDownload Restriction: no . Further reading[edit]. Pascal Gourdel and Nadia Magli () Additional contact information Nadia Magli: Centre d'Economie de la Sorbonne et Universit Ca'Foscari Venezia, . Princeton University Press.

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