Finite type points on subsets of C-n

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YAZICI Ö.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.487, sa.1, 2020 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 487 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.jmaa.2020.123978
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Finite type, Order of contact, Germs of holomorphic functions
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In [4], D'Angelo introduced the notion of points of finite type for a real hypersurface M subset of C-n 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 subset of C-n. Building on D'Angelo's work, we prove the openness of the set of points of finite type for any subset M subset of C-n. (C) 2020 Elsevier Inc. All rights reserved.