Not sure how to spell something that sounds like "ah-spec-tice" please tell me where I can get into on aspectice.
if you mean the bumpy stuff that is texture, (or maybe older ceiling tiles) then it's 'asbestos'.... the only way to be sure is to have the paint and texture tested.... look up 'asbestos removal' in the phone book, call them and ask where to have test done.... if you have it, it's a stinker to be rid of..... we have it and have decided to use the thinest sheetrock and hang it over the old ceiling rather than remove the 'popcorn' texture...
I know this was posted awhile ago, but I thought this info I got from an expert may be helpful. If your house is built before 1978 it may have asbestos. To remove popcorn ceilings before this date the cheap way is to layer plastic everywhere in the area of the popcorn ceiling use a spray bottle or mister keeping it wet then scrape it off. When finished gather the plastic up keeping the popcorn ceiling remains encased in the plastic put it in a large garbage bag, seal up, and toss it. The key is to keep it wet when removing. For extra precaution wear safety glasses and mask. As long as it's wet it can't be inhaled and that's when it's dangerous. If you think it may be in the walls it's a good idea to get your home tested for the professionals to come in to clean it but it will cost you a lot of money.
asbestos? Probably not, unless your house is really old. You probably have fiberglass insulation. Some old ceiling tiles maybe had asbestos, but not in recent years.