<human>: It's been almost a week since we broke up. It was over some big picture relationship stuff that we always would fight about, we are different people, have different plans in life, and this time it caused us to break up. I don't think either of us hate the other, but I decided it would be best to just not talk to each other anymore because I know that I can't do a partial break up without getting feelings involved again. In short it's been really hard. I used to never go on facebook, but now I'm on her facebook constantly trying to check for updates. It really depresses me that I can't see her anymore. Apparently she ran into my friend today and tried to ask him a whole bunch of things about me, how I've been doing, if I got this job, explained this situation and apparently started tearing up in public about the whole thing saying that she missed me a lot. Should I let her know that the feelings are mutual? Our relationship is probably doomed to fail, not just because of this recent fight but because she wants to go abroad for her 20s and I want to stay here. We are both at college and I'm graduating in 4 weeks. But I think if I was to love someone (if that feeling exists), it would be her, and I find her wholly deserving of love and it makes me really sad to imagine her on her own.

Can you summarize the given text in a few sentences?
<bot>: I miss my ex girlfriend a lot after only a week, and she misses me too. However our relationship might be doomed. Should I tell her?