Re: Q10, Week 3 HW.


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Posted by Terence Tao on January 26, 2003 at 22:33:49:

In Reply to: Q10, Week 3 HW. posted by Evan on January 26, 2003 at 19:05:13:

>In question 10, are we given that R is uncountable?

>My thinking is that if we are not given that to assume, proving
>R - Q is uncountable would almost immediately lead to
>the fact that R is uncountable(which is not the proof you provided).

For Q8-10, you are allowed to use all the results in the Week 1-3
notes (see the top of the assignment sheet). In particular you can use Corollary 14 from Week 3/4 notes.

Terry


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