Some Operations and Properties of Strong Pre-open Sets by Semi-open Sets

In this paper,the concept of pre-open sets and strong pre-open sets by semi-open sets were introduced in a new way,the connections among semi-open sets,pre-open sets and strong pre-open sets were discussed,Furthermore some results in subspace were given through further research,Finally the theorem which the images of semi-open sets,pre-open sets and strong pre-open sets were invariant under the continuous open mapping were proved.