| Título: | Level curves of open polynomial functions on the real plane. |
| Autores: | Ferrera Cuesta, Juan ; Puente Muñoz, María Jesús de la |
| Tipo de documento: | texto impreso |
| Editorial: | Taylor & Francis, 1994 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas , Tipo = Artículo |
| 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. |
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