# Riemann surfaces tag description

The tag has the following description:

For questions about Riemann surfaces, that is compact analytic manifolds of (complex) dimension 1, and related topics.

The usual definition is that they be analytic manifolds with complex dimension $1$, so why are they defined as being compact here?

• Interestingly, tag-excerpt mentions compactness, but the body of the tag-wiki does not. – Martin Sleziak Apr 18 '16 at 4:42
• I venture the guess that the intention was to write "complex" and the muscle memory chose the wrong continuation to autocomplete. – Daniel Fischer Apr 18 '16 at 8:47