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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

flag	asked Aug 13 at 3:21 Christopher Laing 85●4

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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 at 12:30

Wolfgang Loehr · Accepted Answer · 2012-08-13 12:26:29Z UTC

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

answered Aug 13 at 12:26

Wolfgang Loehr
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Thanks Wolfgang, much appreciated. – Christopher Laing Aug 15 at 0:00

Dox · Answer 2 · 2012-08-13 12:20:48Z UTC

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No, there is none.

answered Aug 13 at 12:20

Dox
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Thanks Dox, I hadn't run into anything obviously standard in the literature, but I wanted to ask before I put it in my thesis! – Christopher Laing Aug 15 at 0:00

You're welcome! (even if mine contribution was useless) – Dox Aug 15 at 1:55

Standard notation/symbol for an embedding function

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