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Generally selection principles deal with two collections of families of subsets. In this paper we have introduce some new star-selection principles termed as SS*C,1(A, B) and SS*C,fin(A, B) which deal with three collections of subsets or families of subsets of a set. As a initiation of a systemic study, some properties of the new selection principles are investigated which show them to be distinct from existing selection principles.
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Bal et al. (2017) studied this question.
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