In the US it doesnt matter if you were MARRIED or not, if you have kids you need to support them regardless of marital status. That was for those who were harping on the fact that you weren't married.But youre not trying to get out of taking care of your kids.Court ordered support might follow you to canada, might want to check into that.And the closing the door forever thing, i think thats important that you DON'T close it forever, what if (GOD forbid) the mother of your kids die and you cant sponsor them, what will happen to them? so when you write your letter to CIC don't exclude the kids forever, just tell them your ex partner refuses to let you get medicals done for the kids.Also, you still need to list them on your application even if they won't be comming with you.