For example two points can be seen as the boundary of a line segment in $\mathbb{R}$. The plane $\mathbb{R}^2$ can be seen as the boundary of some set in $\mathbb{R}^3$ and so on. Can any set be seen as the boundary of some other set?
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http://mathoverflow.net/questions/175800/which-sets-occur-as-boundaries-of-other-sets-in-topological-spaces – JP McCarthy Mar 20 '15 at 11:19
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How can I delete this post since its already been answered? – Cristian Em. Mar 20 '15 at 11:27
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you'd have to get me to delete my answer first – JMP Mar 20 '15 at 11:30
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you get a badge if you delete with a score of 3 or more - 'disciplined' I think. – JMP Mar 20 '15 at 11:31