摘要:Let ( U' ; C' ) be a subspace of a covering approximation space ( U ; C ) and X⊂U' . In this paper, we show that and B'(X)⊂B(X)∩U' . Also, iff ( U ; C ) has Property Multiplication. Furthermore, some connections between outer (resp. inner) definable subsets in ( U ; C ) and outer (resp. inner) definable subsets in ( U' ; C' ) are established. These results answer a question on covering approximation subspace posed by J. Li, and are helpful to obtain further applications of Pawlak rough set theory in pattern recognition and artificial intelligence.