Affiliation:
1. Departamento de Matemáticas Facultad de Ciencias Universidad Nacional Autónoma de México Circuito Exterior S/N, Ciudad Universitaria , CP Ciudad de México México
Abstract
Abstract
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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