pre-semi-closed function

Definition

• A function f:X → Y is said to be pre-semi-closed if the image of every semiclosed? subset of X is semiclosed? in Y.

Reference

• Arya, S.P.; Nour, T.M., Weakly semi-R_0 spaces., (English) [J] Indian J. Pure Appl. Math. 21, No.12, 1083-1085 (1990).