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
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.
|Uncontrolled Keywords:||Open polynomial function; Real plane; Real line; Sign; Level curves|
|Subjects:||Sciences > Mathematics|
|Deposited On:||24 May 2012 09:49|
|Last Modified:||24 May 2012 09:49|
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