关于局部S-闭空间的另一注记

Another Note on Locally S-Closed Spaces

讨论了局部S-闭空间的遗传性及其与其他空间的联系,得到:1)局部S-闭空间是半正则遗传的;2)每一个局部S-闭空间(X,T),存在T′T,使(X,T′)是拟H-闭空间.

Heredities extending locally S-closed spaces and their relationships with other spaces were discussed.It was shown：the semi-open regular subspace of a locally S-closed space was locally S-closed;for every locally S-closed space（X,T）,there was T′T,and（X,T′） was para-H-closed space.