If an employer lies to an applicant during the job interview/hiring process what can be done?

I had been working at my previous job for many years. Over the past year I had been looking for a new job that contained 3 specific features: shorter commute, better salary and no travel. I had an interview with a certain company a year ago. They presented 2 of the 3 features I was looking for. They told me that some international travel may be required so I turned down their offer. About a month ago the same company presented a new offer and said that there would be no travel required. This was repeated several times throughout the hiring process not only by the employer but also the recruiter. I accepted their offer on their word that I would not have to travel. They did not put this in writing. If this employer asks or tells me to travel and I refuse (which I will) what are the consequences? At that point I would consider their hiring process based on a lie and probably lose trust in the company. Would I have any legal options at that point? I am trying to be preemtive, cover myself and give myself a secure feeling as I grow in this new position.