【摘要】 引入半广义闭L-集和半广义开L-集,证明两个半广义闭L-集的并也是半广义闭L-集,同样还证明了在闭映射和半连续映射下,sg-闭L-集的像是gf-闭L-集,但是有例子表明,在闭映射和半连续映射下,sg-开L-集的像一般不再是gf-开L-集,此外还证明了闭L-集sg-闭L-集gf-闭L-集rgf-闭L-集,但是每个逆都是不真的.更多还原

【Abstract】 In this paper,we introduce the concepts of semi-generalized closed L-set and semi-generalized open L-set in L-space,and we prove that the union of two semi-generalized closed L-sets is a semi-generalized closed L-set and the image of a sg-closed L-set is a gf-closed L-set in closed and semicontinuous mapping,but in the same mapping the image of sg-open L-set is not gf-open.We also prove that closed L-set  sg-closed L-setgf-closed L-setrgf-closed L-set,but each inverse is not true.更多还原