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Bibliographic Details
Main Authors: Lau, Joshua, Marin-Marquez, Vicente
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.01613
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Table of Contents:
  • We study continuous approximate solutions to polynomial equations over the ring $C(X)$ of continuous complex-valued functions over a compact Hausdorff space $X$. We show that when $X$ is one-dimensional, the existence of such approximate solutions is governed by the behaviour of maps from the fundamental pro-group of $X$ into braid groups.