Is the pre-open set form a topology?

I would try to answer this question, but there is misspelling and the grammar is poor, so I do not understand it. By the time you are in topology, you need to provide proofs. So think of the requirements of a topology. Read the definition. Look for a counterexample (since the previous answer says it's false). It something is true, it has to be true ALWAYS, so one counterexample is enough. Otherwise prove that all conditions for a topology are met. I guess I did answer it after all. But it is RUDE to not take care in posing your question, and waste people's time. Some askers cannot help it, but you are obviously educated, and have no excuse to be sloppy and unintelligible.