一类S闭空间

On a kind of S-closed spaces

讨论了S闭空间的性质,证明了(1)局部S闭空间是半正则遗传的;(2)如果A是正则开集,则A是X的局部S闭子空间当且仅当A相对X是局部S闭的;(3)每一T2的最小局部S闭空间是S闭空间。

The properties extending S-closed spaces are discussed.It is shown that（1） every semi-open regular subspace of a locally S-closed space is locally S-closed.（2）If A is a regular open subset of X,then A is locally S-closed if and only if A is locally S-closed relative to X.（3） Every T2 minimal-locally-S-closed space is S-closed.