New approach of the hairy ball theorem.

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.

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Year of publication:	2014-06
Authors:	Gourdel, Pascal ; Mâagli, Nadia
Institutions:	Centre d'Économie de la Sorbonne, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Hairy ball theorem \| fixed point theorems \| approximation methods \| homotopy \| topological degree \| connected components

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Extent:	application/pdf
Series:	Documents de travail du Centre d'Economie de la Sorbonne. - ISSN 1955-611X.
Type of publication:	Book / Working Paper
Notes:	14 pages
Classification:	C00 - Mathematical and Quantitative Methods. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010791263