*Definition [#g5f11dc5]
-A topological space (X,τ) is said to be weakly semi-R_0 if  &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5ccap_%7bx%5cin%20X%7ds%5cmbox%7b-%7dcl%5c%7bx%5c%7d=%5cemptyset%20%5c%5d%7d%25.png);.

*Property [#xcae1b50]
-A topological space X is weakly semi-R_0 if and only if s-ker(x)≠ X for any x∈X, where s-ker(x) is 
[[semi-kernel of x]].
-Let f:X → Y be a [[pre-semi-closed>pre-semi-closed function]] one-one function. If X is weakly semi-R0, then so is Y.
-If a space X is weakly semi-R_0, then for every space Y, the product space X × Y is also weakly semi-R_0.


*Reference [#s9dbfb26]
-Arya, S.P.; Nour, T.M., ''Weakly semi-R_0 spaces.'', (English) [J] Indian J. Pure Appl. Math. 21, No.12, 1083-1085 (1990).