Continuity of the roots of a polynomial
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866917785569853440 |
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| author | Nathanson, Melvyn B. Ross, David A. |
| author_facet | Nathanson, Melvyn B. Ross, David A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_13013 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Continuity of the roots of a polynomial Nathanson, Melvyn B. Ross, David A. Rings and Algebras 12D10, 12E05, 12J10, 12L15 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. |
| title | Continuity of the roots of a polynomial |
| topic | Rings and Algebras 12D10, 12E05, 12J10, 12L15 |
| url | https://arxiv.org/abs/2206.13013 |