### Impacto

Ferrera Cuesta, Juan and 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

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

## 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 |
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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: | 20 Jan 2016 15:08 |

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