does a set with empty interior have measure zero? I think it does...
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Mar 18, 2007 #3 ak416 122 0 ya and I read somewhere that it has measure zero. So this wouldn't be a counterexample.
Mar 18, 2007 #5 JasonRox Homework Helper Gold Member 2,372 4 The Cantor set does have an empty interior and also has measure zero. I never worked with measurable spaces yet, but if I had to guess, I would say a set with empty interior does in fact have measure zero.
The Cantor set does have an empty interior and also has measure zero. I never worked with measurable spaces yet, but if I had to guess, I would say a set with empty interior does in fact have measure zero.
Mar 18, 2007 #6 ak416 122 0 no actually it says in my book that the standard middle thirds cantor set has measure zero, but not any cantor set. So I guess its incorrect.
no actually it says in my book that the standard middle thirds cantor set has measure zero, but not any cantor set. So I guess its incorrect.
Mar 18, 2007 #7 mathwonk Science Advisor Homework Helper 11,532 1,783 come on guys, look at the set of irrational numbers betwen 0 and 1. what is the interior? what is the measure? take your book and put it under your coffee cup while you think about this.
come on guys, look at the set of irrational numbers betwen 0 and 1. what is the interior? what is the measure? take your book and put it under your coffee cup while you think about this.