New approach of the hairy ball theorem

Pascal Gourdel and Nadia Mâagli ()
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Nadia Mâagli: Centre d'Economie de la Sorbonne et Università Ca'Foscari Venezia, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: In this paper, we establish an equivalent version of the hairy ball theorem in the form of a fixed point theorem. By using a version of Mas-Colell theorem [6] and by applying homotopy and approximation methods, we obtain our main result

Keywords: Hairy ball theorem; fixed point theorems; approximation methods; homotopy; topological degree; connected components (search for similar items in EconPapers)
JEL-codes: C00 (search for similar items in EconPapers)
Pages: 14 pages
Date: 2014-06
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ftp://mse.univ-paris1.fr/pub/mse/CES2014/14051.pdf (application/pdf)

Related works:
Working Paper: New approach of the hairy ball theorem (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:14051

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