Honam Mathematical Journal (호남수학학술지)

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STATISTICALLY ω-FRÉCHET AND STATISTICALLY ω-SEQUENTIAL SPACES: STATISTICAL CONVERGENCES OF ω-NETS

  • Junhui Kim (Department of Mathematics Education, Wonkwang University)
  • Received : 2024.02.23
  • Accepted : 2024.07.26
  • Published : 2024.12.20
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Abstract

In this paper, we introduce some modifications of statistically Fréchet and statistically sequential spaces which were defined in [5], termed statistically ω-Fréchet and statistically ω-sequential spaces concerned with ω-nets. Our work includes the construction of an illustrative example that distinguishes these two properties. Furthermore, we establish general relationships between statistically ω-Fréchet and statistically ω-sequential properties, demonstrating their equivalence in the class of statistically ω-transitive spaces.

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Acknowledgement

I would like to express my sincere gratitude to the reviewers for their insightful comments and valuable suggestions, which greatly contributed to the improvement of this paper.

References

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