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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

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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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