Biblioteca de la Universidad Complutense de Madrid

Level curves of open polynomial functions on the real plane.

Impacto

Ferrera Cuesta, Juan y Puente Muñoz, María Jesús de la (1994) Level curves of open polynomial functions on the real plane. Communications in Algebra, 22 (14). pp. 5973-5981. ISSN 0092-7872

URL Oficial: http://www.tandfonline.com/doi/pdf/10.1080/00927879408825172




Resumen

Let f : R(2) --> R be an open polynomial function. Then, f changes sign across V(f) (alternatively around a singular point of V(f)) and the function c : R --> N expressing the number c(lambda) of connected components of the lambda-level curve of f is lower semicontinuous; it has removable singularity at every value lambda which is critical and is not a real critical value at infinity for f.


Tipo de documento:Artículo
Palabras clave:Open polynomial function; Real plane; Real line; Sign; Level curves
Materias:Ciencias > Matemáticas
Código ID:15354
Depositado:24 May 2012 07:49
Última Modificación:20 Ene 2016 15:08

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