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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:

  1. Enlightening Symbols: A Short History of Mathematical Notation and its Hidden Powers (Mazur, 2016).

  2. https://en.wikipedia.org/wiki/List_of_mathematical_symbols_by_subject

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    $\begingroup$ $\mathbb{R}^{2}_{\geq}$ does not look standard to me. It might be intended to mean $\{(x,y)\}$ with $x \ge y$ or $\{(x,y)\}$ with $x \ge 0$ and $y \ge 0$, or something else. I would expected to be defined where you came across it $\endgroup$
    – Henry
    May 28 '20 at 22:33
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    $\begingroup$ $\mathbb{R}^2_{\geq}$ is standard notation for the positive quadrant, including $x$ and $y$ axes. $\endgroup$ May 28 '20 at 22:35
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    $\begingroup$ I mean, we can't even decide whether $0 \in \mathbb{N}$ or not. $\endgroup$ May 28 '20 at 22:40
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    $\begingroup$ @JairTaylor: That's a different question. We all know that $\mathbb{N}$ denotes the "natural numbers," which is an example of the OP's question. $\endgroup$ May 28 '20 at 22:48
  • $\begingroup$ I've found this link, in which there is a list related to what I am looking for: link.springer.com/content/pdf/bbm%3A978-0-387-68628-8%2F1.pdf $\endgroup$
    – John M-D94
    May 28 '20 at 22:51
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I’m not quite sure this is what you’re looking for, but this is a really good reference for different types of algebraic/topological structures:

http://math.chapman.edu/~jipsen/structures/doku.php/index.html

This doesn’t have to do with notation per se, but it does demonstrate a lot of the notation used to express common algebras, topological spaces, orderings, etc.

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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.

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