In Sophocles's tragedy, Oedipus Rex, after Oedipus Rex blinds himself, he asks Creon to exile him; however, he is taken into the palace. This action indicates that, though blind and humiliated by serving his own destruction because of his hamartia, Oedipus will, nevertheless, be cared for within the palace. In addition, he is with his daughters and may be allowed to remain near them.
Always with life there is hope. So, although Oedipus is disgraced at the end of the play, he is yet a man who once held high stature. So, there is a possibility of his being able to perform some redeemable act for Thebes or for his children which will, perhaps, mitigate the disgrace that he has brought to his name and to his family.