Tile is the least offensive of the Asbestos Containing Materials. Here is my FAQ on Asbestos and the Federal Regulations. Yes...my FAQ....I wrote it...
http://www.sbcapcd.org/biz/asbestos.htm
While I agree that the regs on floor tile are overblown, sheet Linoleum and other friable materials can be VERY hazardous. The incubation period from exposure is 30-40 YEARS in some cases...but hey do what ya want, I'll probably be drooling in my Cream of Wheat at the rest home when it happens to YOU....