query: The measure of a Cantor Set
positive_passages.docid: 76434
positive_passages.text: What is the measure of the set of numbers in $[0,1]$ whose decimal expansions do not contain $5$?
negative_passages.docid: 74355
negative_passages.text: Convergence in measure and almost everywhere
negative_passages.docid: 127678
negative_passages.text: A partition of the unit interval into uncountably many dense uncountable subsets
negative_passages.docid: 32347
negative_passages.text: Limit of a decreasing sequence of measurable sets.
negative_passages.docid: 35206
negative_passages.text: Minkowski Dimension of Special Cantor Set
negative_passages.docid: 74720
negative_passages.text: Is every set of measure zero countable?
negative_passages.docid: 39692
negative_passages.text: The length of an interval covered by an infinite family of open intervals
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 60110
negative_passages.text: The set of differences for a set of positive Lebesgue measure
negative_passages.docid: 147350
negative_passages.text: Homeomorphism between $\prod X_i$ and the Cantor set
negative_passages.docid: 23608
negative_passages.text: Prove the set of all infinite binary sequences is uncountable by using Cantor's theorem.
negative_passages.docid: 31479
negative_passages.text: homeomorphism of cantor set extends to the plane?
negative_passages.docid: 151707
negative_passages.text: Fatou's lemma and measurable sets
negative_passages.docid: 104234
negative_passages.text: What is the Hausdorff dimension of the set of irrationals on $\mathbb R^1$
negative_passages.docid: 156176
negative_passages.text: Lebesgue measurability of nearly identical sets
negative_passages.docid: 95947
negative_passages.text: Cantor set + Cantor set =$[0,2]$
negative_passages.docid: 28468
negative_passages.text: Haar measure on $SO(n)$