is heaven perfect?

Today in Old Testament class we debated about whether or not Heaven is perfect. This started by questioning whether God created a "perfect" world before the fall of man. God is perfect, infinite, boundary-less. I understand that. The professor then said that God cannot create another entity that is also perfect, not because he is not powerful enough but because he would just be re-creating himself and he would no longer be God. In terms of spaciality, he cannot create something that is also boundary-less like himself. I understand that too. Prof defined perfection as being without even the possibility of commiting sin. He seems to think that Heaven is not perfect. But since God must be separate from sin (holiness and evilness cannot exist on the same "plane") wouldn't Heaven have to be holy? Why would God create a dwelling place for himself that was NOT perfect? Isn't Heaven holy? And isn't holy synonomous with sacred, consecrated, divine, sanctified, and perfect?

Also, was Jesus not perfect? He was tempted so was therefore presented with the opportunity (possibility) to sin. By Prof's definition he is not perfect. My whole life I have believed Jesus to be the only perfect person to walk the earth - the only person to live and remain sinless.

This whole thing has rocked my world and belief system a little bit. So I ask you, I want to know what you think... Any thoughts?