Please help

My bf and broke up and we have a child together. He hasn't reached to me nor my child since I told him we couldn't be friends ! Only, cordial. Should I reach out to him in regards to my child speaking to him or allow him to persue a relationship of our child?! Very confused??? I will not deny him of his child I told him this!! My mother said to not chase him. If he claims he loves his child then he should do the reaching out! What do you guys think? Only mature and respectful comments please. Thank you.