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A simple example of a set which is dense-in-itself but not closed... the set of rational numbers is also dense-in-itself but not closed...

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mathematics \| subset \| topological space \| isolated points \| closed set \| perfect set \| irrational numbers \| neighborhood \| closure \| Dense set \| Dense order \| PlanetMath \| GFDL \| \| geometry-related \| stub \| help \| Category \| Geometry stubs \|

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Dense-in-itself".