A refined estimate for the topological degree

Nguyen, Hoai-Minh

doi:10.1016/j.crma.2017.10.007

Mathematical analysis/Differential topology

A refined estimate for the topological degree
[Une estimée raffinée du degré topologique]

Présenté par : Haïm Brézis

Nguyen, Hoai-Minh ¹

¹ École polytechnique fédérale de Lausanne, EPFL, SB MATHAA CAMA, Station 8, CH-1015 Lausanne, Switzerland

Comptes Rendus. Mathématique, Tome 355 (2017) no. 10, pp. 1046-1049.

Résumé
Abstract

Nous affinons une estimée du degré topologique pour des applications continues d'une sphère $S^{d}$ dans elle-même dans le cas $d \geq 2$ . Cela fournit la réponse pour $d \geq 2$ à une question posée par Brezis. Le problème est encore ouvert pour $d = 1$ .

We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere $S^{d}$ into itself in the case $d \geq 2$ . This provides the answer for $d \geq 2$ to a question raised by Brezis. The problem is still open for $d = 1$ .

Reçu le : 2017-10-08
Accepté le : 2017-10-12
Publié le : 2017-10-01

DOI : 10.1016/j.crma.2017.10.007

Affiliations des auteurs :

Nguyen, Hoai-Minh ¹

¹ École polytechnique fédérale de Lausanne, EPFL, SB MATHAA CAMA, Station 8, CH-1015 Lausanne, Switzerland

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     title = {A refined estimate for the topological degree},
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     pages = {1046--1049},
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Nguyen, Hoai-Minh. A refined estimate for the topological degree. Comptes Rendus. Mathématique, Tome 355 (2017) no. 10, pp. 1046-1049. doi : 10.1016/j.crma.2017.10.007. http://www.numdam.org/articles/10.1016/j.crma.2017.10.007/

Bibliographie
Cité par

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