Finite type points on subsets of Cn

Üniversitemiz Dr. Öğr. Üyesi Özcan Yazıcı tarafından yazılan “Finite type points on subsets of Cⁿ” başlıklı makale Journal of Mathematical Analysis and Applications’ta yayınlandı.

In [4], D'Angelo introduced the notion of points of finite type for a real hypersurface M⊂Cⁿ and showed that the set of points of finite type in M is open. Later, Lamel-Mir [8] considered a natural extension of D'Angelo's definition for an arbitrary set M⊂Cn. Building on D'Angelo's work, we prove the openness of the set of points of finite type for any subset M⊂Cⁿ.

Yazici, O. (2020). Finite type points on subsets of cn. Journal of Mathematical Analysis and Applications, 487(1) doi:10.1016/j.jmaa.2020.123978

Makaleye erişim için: https://www.sciencedirect.com/science/article/pii/S0022247X20301402?via%3Dihub

Anahtar sözcükler:

Finite type; Germs of holomorphic functions; Order of contact