query: Cantor space and cantor set
positive_passages.docid: 147350
positive_passages.text: Homeomorphism between $\prod X_i$ and the Cantor set
negative_passages.docid: 151686
negative_passages.text: A proof that the Cantor set is Perfect
negative_passages.docid: 76974
negative_passages.text: What ZF axioms does Cantor's diagonal argument require?
negative_passages.docid: 53663
negative_passages.text: outer measure and measurable sets
negative_passages.docid: 50137
negative_passages.text: Using Cantor's lemma in a proof of convergence
negative_passages.docid: 35206
negative_passages.text: Minkowski Dimension of Special Cantor Set
negative_passages.docid: 66398
negative_passages.text: Union of a finite set and a countably infinite set is countably infinite
negative_passages.docid: 156479
negative_passages.text: Fractal dimension of set in $\mathbb{R}^2$
negative_passages.docid: 64375
negative_passages.text: Non-Metrizable Topological Spaces
negative_passages.docid: 90628
negative_passages.text: The metric spaces are Tychonoff spaces
negative_passages.docid: 65316
negative_passages.text: Explaining Infinite Sets and The Fault in Our Stars
negative_passages.docid: 119649
negative_passages.text: Every metrizable space with a countable dense subset has a countable basis
negative_passages.docid: 11395
negative_passages.text: Why is the Cantor function not absolutely continuous?
negative_passages.docid: 81351
negative_passages.text: Polish space in which the interior of each compact set is empty
negative_passages.docid: 20706
negative_passages.text: Non-existence of a Surjective Function from a Set to Its Subsets (Cantor's theorem)
negative_passages.docid: 101028
negative_passages.text: Irrational numbers and Borel Sets
negative_passages.docid: 115502
negative_passages.text: Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures