SOME SET THEORETIC OPERATORS PRESERVING IDEAL HAUSDORFF CONVERGENCE

ALBAYRAK H., Olmez O., AYTAR S.

REAL ANALYSIS EXCHANGE, cilt.47, sa.1, ss.179-190, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.14321/realanalexch.47.1.1618849755
  • Dergi Adı: REAL ANALYSIS EXCHANGE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, Public Affairs Index, zbMATH, DIALNET
  • Sayfa Sayıları: ss.179-190
  • Anahtar Kelimeler: Sequences of sets, Hausdorff convergence, I-convergence, SEQUENCES
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this article, we investigate set theoretic operators preserving the ideal Hausdorff convergence of sequences of sets. Then we showed that pointwise continuous functions are not sufficient to preserve ideal Hausdorff convergence. Finally, we proved that uniformly continuous functions preserve this type of convergence.