Is there some good reference (website could be better) to know the meaning of symbols (generally used) for any "special" kind of sets or spaces like $\mathbb{R}^{2}_{\geq}$?
I've looked up, without success, in:
Enlightening Symbols: A Short History of Mathematical Notation and its Hidden Powers (Mazur, 2016).
https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject
You might want to explore https://proofwiki.org/wiki/Main_Page which has a more-or-less comprehensive symbols dictionary, but it's not all listed in a neat list, you need to go and find the pages the things are defined on.
Perhaps there's work for someone who has a vision of what it is they want to see in such a list.