Although this is a really basic quesiton, the topic is way beyond my education, so please excuse the lack of sources, background knowledge and proper terms, and please help me improve.
I understand that items cooked in a vessel take on, to some extent, the status of that vessel. In general, we must count the whole volume of the vessel in a bitul b'60 calculation -- and usually the vessel's volume is more than 1/60 of the whole, so the vessel is not batul.
Why, then, do we not, strictly speaking, have to wait after eating something that was made with meat keilim? (It may be that we do have to wait after eating meat to eat something made on dairy keilim?)