I know a set like $(a, b)$ with $a < b$ is an interval on the reals (in particular, this one happens to be an open interval on the usual topology on $\mathbb{R}$, but I'm not specifically interested in open intervals here). Consider a set like $S = (a, b)\cup (c, d)$ where $-\infty < a < b < c < d < \infty$. Is there any standard term for sets like S that are comprised of the union of a finite number (probably 2) of disjoint intervals (where each such interval might open, closed, or neither)?
Is there a term for the union of disjoint intervals?
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terminology
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0@GerryMyerson and Fly by Night, upon $f$urther review, it does seem I was a bit harsh in my response; sorry about that. I've tried to clarify my intent a bit in the question. – 2012-09-08