SOME SET THEORETIC OPERATORS PRESERVING IDEAL HAUSDORFF CONVERGENCE

ALBAYRAK H., Olmez O., AYTAR S.

REAL ANALYSIS EXCHANGE, vol.47, no.1, pp.179-190, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.14321/realanalexch.47.1.1618849755
  • Journal Name: REAL ANALYSIS EXCHANGE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, MathSciNet, Public Affairs Index, zbMATH, DIALNET
  • Page Numbers: pp.179-190
  • Keywords: Sequences of sets, Hausdorff convergence, I-convergence, SEQUENCES
  • Süleyman Demirel University Affiliated: Yes

Abstract

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.