RT Journal Article T1 Level curves of open polynomial functions on the real plane. A1 Ferrera Cuesta, Juan A1 Puente Muñoz, María Jesús De La AB 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. PB Taylor & Francis SN 0092-7872 YR 1994 FD 1994 LK https://hdl.handle.net/20.500.14352/57278 UL https://hdl.handle.net/20.500.14352/57278 DS Docta Complutense RD 6 abr 2025