Don't judge me as stupid just yet, I'm not sure if mine's a tubular or tubeless tire but everyone says tubular tires are glued to the metal wheel. However, mine isn't. It consists of a smooth, inflatable tube inside, covered by a rough, durable cover. There is absolutely no glue used so I'm pretty confused. The way it stays on the wheel is because the wheel has a rim that keeps it from falling off. If it helps, by bike is a GMC Denali with 700C wheels. Please help, I really have no idea.
A normal clincher tyre will have a "bead" as shown in the following diagram.
It's possible you have a "tubalar clincher" like this:
If none of those quite look right, could you provide a photo?