I thought that if the universe is "open" then it is only the visible universe that is finite, and the rest is actually infinite. i.e. there's stars "all the way

I thought that if the universe is "open" then it is only the visible universe that is finite, and the rest is actually infinite. i.e. there's stars "all the way" it's just that we can only see stuff 14 billion light years away. Another point: in one part it says "we are probably not at the center" - I thought the notion of a "center of the universe" was meaningless in the same sense that any point on a sphere is not "the center" (if the universe is "closed"), and you can't have a "center" of an infinite plane (if the universe is "open").