What is going on?

So my ex and I broke up at the beginning of the week. We didn’t really talk about what that meant for how we would go about seeing each other (because we have the same friends and go to a very small college where running into each other is unavoidable). Yesterday was the first time that we saw each other enough to have to interact. (to clarify, the relationship ended mutually with him saying that he didn’t see a future with me doing what he wanted to do with his life and me telling him I didn’t want to be in a relationship with an expiration date) So, when I saw him, I cordially waved (hard to smile with a mask lol) and he just started at me. We end up being alone long enough to have a conversation where he says, while he still doesn’t feel that we are right for each other he still loves and cares about me. All of that makes sense, but then he asked if we could be friends. Honestly I was so shocked that I said yes… does him wanting to be friends means there’s a hope for a future where it works out or is it selfish motive of him to keep me around until he’s ready to move on?