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I am reading Sheldon Axler's book: Measure, Integration & Real Analysis ... and I am focused on Chapter 2: Measures ...
I need help with proving that the outer measure of an open interval, \mid (a, b) \mid = b - a
Axler's definitions of length and outer measure are as follows:
Can someone demonstrate rigorously that \(\displaystyle \mid (a, b) \mid = b - a\) ...
I know it seems intuitively obvious but how would you express a convincing and rigorous proof of the above result ...
Help will be much appreciated ... ...
Peter
I need help with proving that the outer measure of an open interval, \mid (a, b) \mid = b - a
Axler's definitions of length and outer measure are as follows:
Can someone demonstrate rigorously that \(\displaystyle \mid (a, b) \mid = b - a\) ...
I know it seems intuitively obvious but how would you express a convincing and rigorous proof of the above result ...
Help will be much appreciated ... ...
Peter
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