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arxiv: 2210.08138 · v1 · pith:ZLO3X6TMnew · submitted 2022-10-14 · 🧮 math.CA

Towards a refined estimate for topological degree in one dimension

classification 🧮 math.CA
keywords degreetopologicalasksboundbreziscircleconjecturedimension
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In this paper we prove an inequality inspired by a conjecture of Brezis, which asks for a bound for the topological degree of a map from the circle to itself in terms of a nonlocal integral.

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