I used to run the unemployment cases for a Federal agency. The requirements vary somewhat from state to state but the general rule is that you don't qualify for unemployment if you are fired for cause. But just because your employer says they fired you doesn't mean they had cause. If you believe they are sticking it to you (e.g. firing you for not doing something like travel that you were promised would not be required as mentioned above) appeal. The employer will have to produce evidence that they are right. In some locations (DC comes to mind) the appeals process is heavily in your favor. In many cases, companies don't have an effective process to document their actions and to respond to appeals. In that case you win by default. My recollections are from 25 years ago so things may have changed but knowing government programs I doubt it.
