Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582620 | Expositiones Mathematicae | 2006 | 15 Pages |
Abstract
We provide a unified, elementary, topological approach to the classical results stating the continuity of the complex roots of a polynomial with respect to its coefficients, and the continuity of the coefficients with respect to the roots. In fact, endowing the space of monic polynomials of a fixed degree nn and the space of nn roots with suitable topologies, we are able to formulate the classical theorems in the form of a homeomorphism. Related topological facts are also considered.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Branko Ćurgus, Vania Mascioni,