A thesis statement for Oedipus could discuss the moral implications of his story, or the idea of destiny and free will. Oedipus was fated to kill his father and marry his mother, but he didn't know that when he left Corinth. He made choices that led him to that point, but ultimately it was his fate. A thesis statement could discuss whether Oedipus was truly responsible for his actions, or if he was just a victim of circumstance.