## The proper name for a kind of ordered space

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I'm trying to find the correct term for a specific kind of totally ordered space:

Let $S$ be a totally ordered space with asymmetric relation <.

Property: For any two `$s_{1}$` and `$s_{2}$` in $S$ where `$s_1 < s_2$`, there must exist some `$s_{3}$` such that `$s_{1} < s_{3}$` and `$s_{3} < s_{2}$`.

What is the name of this property? Thank you!

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## 1 Answer

Dense order is one name that concept goes by.

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Thank you so much, Mariano! – chipuni Dec 20 2009 at 1:37
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