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arXiv · 1710.02994

A refined estimate for the topological degree

Hoai-Minh Nguyen
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Abstract

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

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Hoai-Minh Nguyen. 2017-10-09. A refined estimate for the topological degree. https://arxiv.org/abs/1710.02994

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