Star-Selection Principle:Another New Direction

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.