Hey, 25!
Sorry to hear about your troubles, mate. There are a few issues at work here.
First, when you break up with someone, or someone breaks up with you (and I suppose that SHE broke up with you here, because she said that she needed her space), the reason for the breakup remains.
So if she broke up with you, that means she doesn't want to be with you, so why would you want to be with someone who doesn't want you? Plus, I can assure you that she hasn't changed her mind.
On the other hand, if you broke up with her, you must realize that the reason you dumped her is still there, so why would you want to go back?
Women make their decisions based on this:
1. If she's interested in you, she will be there, she will go out with you, she will kiss you, and she will want to be in a relationship with you.
2. If she's not interested, she won't.
3. If she was initially interested, and you turned her off, she won't be interested anymore.
4. Break-ups are final. If you do go back, there will be another breakup.
It's not rocket science, really
The rest of the issues that she brings up are basically smoke screens and excuses (women do that when they're not interested).
So yes it's about your self-respect and standards here. Move on!
You deserve better treatment, from a girl who's actually interested in you.