A lot of vinyl tiles and mastics / adhesives contain asbestos fibers. Even today (30+ years after it was banned) it's still present in certain building materials - it just has to be disclosed now (sometimes buried in the literature) so it's still out there. Prior to any demolition work - particularly of any suspected / possible ACM, testing really should be performed and if materials are found to be positive you'll need to get an industrial hygienist out there to assess the scope of abatement required. An asbestos removal contractor can then come out and abate (safely remove) the material and dispose of it legally. If you have ACM and just toss it in the trash it's a big no-no (if you get caught you can be on the hook for big fines).
You have to be really careful with these things - there are lots of cases where people have been unaware of the possible presence of these things or too cheap to remove them the right way (yes, testing, fees for industrial hygienists, abatement contractors and proper disposal cost money but it's not all that bad considering the alternative).
For your situation (residential less than four dwelling units) you're probably exempt from NESHAP but there might be other state or local rules that come into play. In any case you may have exposed yourself to a known carcinogen if you weren't wearing a respirator and just went at it and busted it up. The days of construction being an industry where guys can just show up swing away with hammers is long gone. Buildings, materials, systems, codes and potential liabilities have gotten way too complicated. You have to be really careful and know what you're doing before you can just start slamming away at things.
Be careful what you post online too.
