Can you be friends with an ex?

We were friends for several months before we started dating. We didn't date long, but during the summer he started hanging out with a girl and then broke up with me. He did not tell me he was leaving me for someone else, I found out through facebook. We were once close friends and we see each other often since we are in the same club and have a lecture together. Think it's possible?
Can you be friends with an ex?
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