I’m a master’s student interested in mathematical physics. Or is it physical mathematics? Here are some things I’ve been wondering about lately…
Welcome, Aaron! It might be good if you used your full name, although I don't think anybody will try to force you.
It also helps if you log your changes in the latest changes category of the Forum. In particular, people will be much more likely to look at your work on induced representation if you do that.
I have also thought that pretopological spaces are pedagogically simpler than topological spaces. I also like to motivate uniform spaces as a uniform version of pretopological rather than topological spaces (although we do have the theorem that any pretopological uniform space is topological). On the other hand, now that I'm getting to locale theory, I'm not as interested in pretopological spaces ….