Roots and polynomials as Homeomorphic spaces

Expositiones Mathematicae

Volumn 24, Issue 1, 2006, Pages 81-95

  Ćurgus, Branko ^a   Mascioni, Vania ^b  

^a WESTERN WASHINGTON UNIVERSITY   (United States)

^b BALL STATE UNIVERSITY   (United States)

Author keywords

Continuity; Homeomorphism; Roots of polynomials

Indexed keywords

EID: 31544479806     PISSN: 07230869     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.exmath.2005.07.001     Document Type: Article

References (8)

1. J.D. Baum, Elements of Point Set Topology, Prentice-Hall, Englewood Cliffs, NJ, 1964.
2. G.M. Ewing, Calculus of Variations with Applications, W.W. Norton & Co., New York, 1969.
3. M. Marden, Geometry of Polynomials, second ed., reprinted with corrections, American Mathematical Society, Providence, RI, 1985.
4. R. Naulin, C. Pabst, The roots of a polynomial depend continuously on its coefficients, Rev. Colombiana Mat. 28 (1994) 35-37.
5. A.M. Ostrowski, Sur la continuité relative des racines d'équations algébriques, C. R. Acad. Sci. Paris 209 (1939) 777-779.
6. A.M. Ostrowski, Solution of Equations in Euclidean and Banach Spaces, Solution of Equations and Systems of Equations, third ed., Pure and Applied Mathematics, vol. 9, Academic Press, New York, 1973.
7. Q.I. Rahman, G. Schmeisser, Analytic Theory of Polynomials, Oxford University Press, Oxford, 2002.
8. W. Rudin, Principles of Mathematical Analysis, third ed., International Series in Pure and Applied Mathematics, McGraw-Hill, New York, 1976.