# Standard notation/symbol for an embedding function

Hello everyone,

Suppose that I am defining a function which embeds a surface (manifold) in $\mathbb{R}^3$.

Is there a standard symbol or letter that is used for this function?

Additionally, is there any other classical or standard notation (such as the hooked arrow for inclusion maps) of which I ought to be aware?

Regards,

Christopher

• Most embeddings I've met were called a lower case Roman letter between $e$ and $k$. As far as arrows, I prefer $\hookrightarrow$ for an embedding and $\looparrowright$ for an immersion, but you sometimes also see $\subset$ for an embedding and $\subseteq$ for an immersion. – Mark Grant Aug 13 '12 at 12:30

I usually use $\iota$ (\iota) for all kinds of embeddings.