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arXiv · 2601.14120

Universal Chord Theorem and a Topological Analysis

Ion Ciudin·Eugen J. Ionascu
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Abstract

We study the set of chords of a real-valued continuous function on [0,1] with f(0)=f(1)=0. We describe which chords may appear as isolated points and provide examples illustrating our characterization. Maximal Hopf sets are introduced and analyzed.

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Ion Ciudin, Eugen J. Ionascu. 2026-01-20. Universal Chord Theorem and a Topological Analysis. https://arxiv.org/abs/2601.14120

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