Oedipus was a mythical or fictional king in Greek mythology. He, without knowing, married his mother and killed his father. The psychologist Sigmund Freud had a theory and he called it the Oedipus complex, after this story.
He had 4 children, Antigone, Polynices, Ismene and Eteocles. All of these were with his mother Jocasta. Later, the find out they are related with each other and Jocasta hangs herself and Oedipus sticks pins in his eyes.