1617-257/TUT-R-2: Difference between revisions
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Revision as of 11:17, 23 September 2016
We discussed the following on 9/22/16:
(1) What are the dimensions of and ?
(2) Let be a subset of . Show that the set of limit points of , , is closed.
A student gave an for problem (2) which works fine if is a closed set (it depended on the fact that ).
Here's what we would have done if we had extra time to discuss:
Let be given.
Let be a sequence which converges to .
Then there is some for which .
Since , there is some such that .
So
That is, .