Star versions of the Rothberger property on hyperspaces

In this paper, we define some combinatorial principles to characterize spaces X whose hyperspace satisfies some variation of some classical star selection principle. Specifically, the variations characterized are the selective and absolute versions of the star selection principles for the Menger and Rothberger cases; also, the hyperspaces considered in these characterizations are CL(X), 𝕂(X), 𝔽(X) and ℂ𝕊(X) in both cases, endowed with either the Fell topology or the Vietoris topology.

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Star versions of the Rothberger property on hyperspaces

Cited by 4 publications

References 10 publications

Relationships between some selection principles and star selection principles

Relationships between some selection principles and star selection principles

On the Reznichenko and Pytkeev properties in hyperspaces

Variations of star selection principles on hyperspaces

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