强拟Lindelof空间及其性质

Some Properties of Strongly Quasi-Lindelof Spaces

首先利用强拟开集概念引入强拟Lindelf空间概念,讨论该空间及其子空间、和空间一些性质,并指出强拟Lindelf空间具有强拟闭遗传性与强拟同胚不变性.

The concept of strongly quasi-Lindelf space is introduced by strongly quasi-open sets in this paper,which is a kind of extension of strongly quasi-compact space. Some properties of this kind of spaces and their subspaces and sum spaces are discussed. It is proved that the strongly quasi-Lindelf space is strongly quasi-closed hereditary and the strongly quasi-Lindelf space has strongly quasi-homomorphic invariability.