# What symbol is this?

by Gabriel Maia
Tags: symbol
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 P: 34 Hi. I was reading a chapter about Stationary Phase Method and I got stuck with this symbol $\Subset$. I looked it up on tables os mathematical symbols but could not find its meaning. Can you help me? Thank you.
 P: 12 I was reading about that from here http://www.math.ku.dk/~gimperlein/di...onaryphase.pdf but saw no such symbol. What's your source?
 P: 34 http://www.math.purdue.edu/~sfholman/dHHU_Chap2.pdf First page, definition 2.1
 P: 180 What symbol is this? This seems more like a math question to me (I've only seen it in functional analysis), but anyway. In this (and most cases), $\Subset$ tends to be used as an alternative to (the in my opinion rather ugly) $\subset\subset$, and means that one set is compactly contained (or embedded) in the other. For many intents and purposes, you can mentally replace $\Subset$ by the usual subset symbols ($\subset$ or $\subseteq$).

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