Husband won't give a divorce?

I am married for 9 years and have a 4 year old baby. About 5 months my husband cheated on me for the first time and he was the perfect husband and father. I always thought he would have done anything in this world but cheat on me. I have know him my whole life and I am 30 years old. He started living with her. He came to me one day and told me he met a woman at his work few days ago and wants to have a live in relationship with her. He said let me go and I might come back with few months. I told him I was leaving and will not support his crazy ideas, at first I didn't want a divorce since I loved him so much and always thought of my child. Then few days later he called and said he wanted a divorce but I was so emotional and begged to give our marriage another change he was just so rude to me. But now it's affecting our child's life and I don't want to be any part of his life and want to cut off all the ties with him. I still loved him and don't think I would be able to find someone ever again because he has helped me grow so much and helped alot with my own personal issues with my family. I just want devote my life to give a better environment to my child and support her in every way possible. So the other day I called him and asked for a divorce. He said he will think about it and how he is not marrying this woman and lets wait and see where the future takes us. I am not worried about any financial problems and I don't his child support or alimony because I am capable of taking care of us and I told him that I don't need his money to raise my child. I feel he is sending me mix signals and says he does not want to be with me but won't divorce me either. I know people are ask why don't I file for a divorce because I really don't care as I am not dating someone else and have no desire of doing such things as of now. We are just binded through the law but sometimes I feel I have no love left for him. If we ever do get back together it will be just for our child because he sometimes cries on the phone for her. Also, he was never abusive towards me and always took care of us well. I did slap him once I found out he was cheating. For the past year or so he was also having alot of problems with his family and his mother would call and say she is going to kill herself or commit suicide because he is her only child and his mom has always been the drama queens and also emotionally black mails his father. She also wanted to come and live with us because she felt she had rights on her son. His dad is really nice as I still talk to them and he says all this happened because somewhere his mom is also responsible.