|MATH 3210 § 1||NINTH HOMEWORK ASSIGNMENT||Due Friday,|
|A. Treibergs||October 31, 2008.|
|A. Please hand in the following problems from Taylor's Foundations of Analysis.
I = [a,b] ⊂ ∪i=1∞ (ai,bi).
It is possible to to reduce the question to this case by replacing each of the intervals of the collection with increasing unions of intervals with rational endpoints. Then by throwing out repetitions you end up with a countable collection.