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The study characterizes almost strongly star-Menger properties using new selection principles in hyperspaces, suggesting deeper connections with existing literature.
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature. Furthermore, we characterize the almost strongly star-Menger and the almost star-Menger properties in hyperspaces endowed with the hit-and-miss topology τ_Δ, by using two new selection principles Sfin^(ΠΔ(Λ), B) and SSfin^(ΠΔ(Λ), B), for an appropriate family B.
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Cruz-Castillo et al. (2025) studied this question.
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