New approach of the hairy ball theorem

Pascal Gourdel and Nadia Mâagli ()
Additional contact information
Nadia Mâagli: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, University of Ca’ Foscari [Venice, Italy]

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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; théorème de la boule chevelue; théorème de points fixes; méthodes d'approximations; homotopie; degrés topologique; composantes connexes (search for similar items in EconPapers)
Date: 2014-06
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01025057
References: View complete reference list from CitEc
Citations:

Published in 2014

Downloads: (external link)
https://shs.hal.science/halshs-01025057/document (application/pdf)

Related works:
Working Paper: New approach of the hairy ball theorem (2014)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-01025057

Access Statistics for this paper

More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Bibliographic data for series maintained by CCSD ().