Posted by Mark on November 20, 2007, 3:49 pm
Hey Prof,
Didn't know you weren't going to have office hours today. Ahh! I have a couple of questions:
7. An example of such a measure zero set is "the line x=y has area 0 in R2." I think the idea is to find cubes covering the set, and show that one edge of the cube has length zero (ie approaches length zero in the limit), using the fact that f assigns unique values to each x. However, I'm having trouble implementing this idea. Any advice?
19. Seems like there is some theorem being referenced here. I've been trying to use MCT, but without luck so far.
Also, I'm pretty much stuck getting started on question 4. I might have a more intelligent version of this question in a few hours, so you can refrain from answering until I post again, if there isn't some obvious advice about how to get started.
Thanks, Prof!
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