That depends on the laws in your state and whether or not the father has otherwise participated in the child's life, either by paying support or other expenses. There may be circumstances where it would be impossible for a parent to maintain visitation rights but still do other things that establishes their parental rights. You would need to contact an attorney specializing in family law in your state of residence for specifics.
If the father has had absolutely no contact with or provided support for a child for 10 years and suddenly re-enters the picture wanting contact/visitation, it is your right to petition the court for retroactive child support and get a custody/visitation agreement worked out based on the same.
Ultimately, this would, or should, be something decided by the courts if you are unwilling to reintroduce the absentee father into your child's life. An absence of that long with no contact or support would be considered abandonment in all 50 states and grounds for termination of parental rights (this is not assumed, it is something that would have to be established in court). If you did not do that, the court will ultimately decide what is in the best interests of the child, not what is in the best interests of either parent, and decide accordingly.
As long as they remain established.
the bio-father still has more rights as obvisouly he is the true father
He should its his child!
I think he should
the man she was living with was NOT the biological father, but he was under the assumption that he was and was supporting and raising the child as his own. what rights does he have
no
If you're in the US, he has the same rights as any other father, because he is the legal father (biological is irrelevant at this point).
Get a lawyer. You have a couple of ways to assert your parental rights.
not without a court case
The child can do anything he wants to :)
Yes, the revocation of parental rights does not exclude the parent from being financially responsible until the child or children reach the age of emancipation, or the age ordered in the child support petition.
Yes I believe he does if he is the boys biological father but you should talk to a judge or your lawyer