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Kucharz's conjecture on Nash regulous solutions of polynomial linear equations
Kucharz's conjecture. If the equation admits a continuous solution $(\varphi_1,\dots,\varphi_r)$ , then it admits a Nash regulous solution.
Conjectureopenlinear-equations real-algebraic-geometry semialgebraic-functionsarXiv posted 2 days ago

Kucharz's conjecture on Nash regulous solutions of polynomial linear equations