Show that the nested set theorem is false if F_1 is unbounded

I had a hard time understanding the proof of the theorem so I am completely lost on how to solve this problem (Angry)

Printable View

- May 16th 2012, 09:52 PMedubaikReal Analysis Nested Theorem
Show that the nested set theorem is false if F_1 is unbounded

I had a hard time understanding the proof of the theorem so I am completely lost on how to solve this problem (Angry) - May 17th 2012, 01:06 AMgirdavRe: Real Analysis Nested Theorem
I'm not sure what version of the nested theorem you mean but I would try for example $\displaystyle F_n:=[n,+\infty)$ in the real line.

- May 17th 2012, 10:06 AMedubaikRe: Real Analysis Nested Theorem
yes thats exactly what i did. I was able to solve the problem! thank you