• Honam Mathematical Journal
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• v.46 no.4
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• pp.606-616
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• 2024

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.