Abstract

We introduce the notion of double $cs$-cover and give a characterization on sequence-covering $\pi$-$s$-images of locally separable metric spaces by means of double $cs$-covers having $\pi$-property of $\aleph_0$-spaces.

Keywords: Sequence-covering, double $cs$-cover, point-star network, $\pi$-property, $\pi$-mapping, $s$-mapping.

MSC: 54D65, 54E35, 54E40

Pages:  131$-$137     

Volume  61 ,  Issue  2 ,  2009