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I'm reading up on maximal sets and the word "coinfinite" pops up in the first sentence. I tried searching on Wolfram Mathworld as well as Google, but nothing concrete has come up. What does it mean and in what context can it be used?

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    $\begingroup$ Limited amount of money? ... Less frivolously, I think the suggestion of Gerald Edgar sounds very plausible $\endgroup$ – Yemon Choi Sep 14 '10 at 21:07
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    $\begingroup$ Coinfinito would mean completely broke. $\endgroup$ – Will Jagy Sep 14 '10 at 22:36
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Perhaps it means the complement is infinite. Certainly "cofinite" and "cocountable" are used this way.

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    $\begingroup$ Yes, this is the standard usage. $\endgroup$ – Andrés E. Caicedo Sep 14 '10 at 21:08
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    $\begingroup$ Comathematician is a machine for turning cotheorems into fee. $\endgroup$ – Victor Protsak Sep 14 '10 at 21:25
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    $\begingroup$ On the other hand, 'cofinite volume' usually refers to a quotient space having finite volume. $\endgroup$ – Colin Reid Sep 14 '10 at 22:13
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See Wikipedia article "Cofiniteness".

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    $\begingroup$ That article has no mention of "coinfinite" however. $\endgroup$ – Gerald Edgar Sep 15 '10 at 2:15
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    $\begingroup$ @Gerald Edgar: That's right, sorry, I seem to have misread the original question. $\endgroup$ – MikeC Sep 15 '10 at 5:01

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