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Topic: Uncountable?
Replies: 9   Last Post: Apr 26, 2014 2:13 PM

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Shmuel (Seymour J.) Metz

Posts: 3,344
Registered: 12/4/04
Re: Uncountable?
Posted: Apr 25, 2014 6:26 AM
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In <virgil-A5B5C8.01121825042014@BIGNEWS.USENETMONSTER.COM>, on
04/25/2014
at 01:12 AM, Virgil <virgil@ligriv.com> said:

>Every open cover of Q as a subset of R covers R.

What gives you that idea? The counterexamples using irrational end
points are trivial and quasi gave the classic answer to the original
question. FWIW, it's a standard undergraduate exercise.

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Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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