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arXiv:2206.13013 [math.RA]AbstractReferencesReviewsResources

Continuity of the roots of a polynomial

Melvyn B. Nathanson, David A. Ross

Published 2022-06-27Version 1

Let $K$ be an algebraically closed field with an absolute value. This note gives an elementary proof of the classical result that the roots of a polynomial with coefficients in $K$ are continuous functions of the coefficients of the polynomial.

Comments: 10 pages
Categories: math.RA
Subjects: 12D10, 12E05, 12J10, 12L15
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