Your boyfriend does not seem to feel any regret about cheating on you and he is keeping his options open by staying connected with this other woman. This is not OK. If you allow the men in your life to disregard your feelings and play on your self-worth, you will continue to attract these similar dating patterns.
Everyone deserves a second chance but don’t allow someone into your life at the expense of you having to learn another painful lesson. Trust and communication are the building blocks of a healthy relationship, don’t ignore the value of their importance.