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Level curves of open polynomial functions on the real plane.

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

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

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Open polynomial function; Real plane; Real line; Sign; Level curves
Subjects:Sciences > Mathematics
ID Code:15354
Deposited On:24 May 2012 07:49
Last Modified:24 May 2012 07:49

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