Memory foam, used for pillows, mattress and mattress toppers, is somewhat resistant to dust mites since the material is dense enough to make the living conditions unfavorable for these tiny creatures.
Technically they can live just about anywhere, but foam beds like Tempurpedics aren't their favorite spot to hang out. Regardless, they will live in cushions, sheets, and headboards, making the Tempurpedic beds resistance to bed bugs almost moot.
The dust mites find it difficult to live inside the foam, as it is essentially a "desert" for them. So the main advantage of a memory foam mattress is that the inside cannot hold dust or skin flakes, whereas a conventional mattress can. Both can get bed bugs / dust mites in the sheets of course. Check out my site for more information on memory
It's not entirely true that bed bugs will never live on memory foam. You can still found those on your mattress, but surely not inside it. Yes, many manufacturers always emphasize that their products can keep things like dust mites and bed bugs out. In reality, memory foam may not be the final answer as advertised.
Bed bugs can live in memory foam toppers, but are more likely to prefer living under a memory foam mattress. The reason why is that the topper is on top of the mattress. This makes it more dangerous for them to live there, as opposed to the underside of the mattress.
Bed bugs can live on/in anything, but bed bugs cannot get into the mattree with outer covering of the Tempurpedic. An exterminator will need to treat the mattress because eggs and nymphs do tend