query: What is the Topology of Cantor set as the subset of real line with standard euclidean topology?
positive_passages.docid: 142583
positive_passages.text: Subsets of the Cantor set
negative_passages.docid: 22232
negative_passages.text: Proving that cardinality of the reals = cardinality of $[0,1]$
negative_passages.docid: 88205
negative_passages.text: How can I define a topology on the empty set?
negative_passages.docid: 13273
negative_passages.text: Cardinality of the set of all real functions of real variable
negative_passages.docid: 80274
negative_passages.text: What is the "topology induced by a metric"?
negative_passages.docid: 6118
negative_passages.text: Homeomorphism of the real line-Topology
negative_passages.docid: 50137
negative_passages.text: Using Cantor's lemma in a proof of convergence
negative_passages.docid: 41047
negative_passages.text: Subspace Topology of a subset
negative_passages.docid: 95897
negative_passages.text: Which sets occur as boundaries of other sets in topological spaces?
negative_passages.docid: 128118
negative_passages.text: Is the cofinite topology on a countable set first countable?
negative_passages.docid: 146445
negative_passages.text: What Topology does a Straight Line in the Plane Inherit as a Subspace of $\mathbb{R_l} \times \mathbb{R}$ and of $\mathbb{R_l} \times \mathbb{R_l}$
negative_passages.docid: 72190
negative_passages.text: Topological proof on discrete topology where $X$ is infinite
negative_passages.docid: 114523
negative_passages.text: The coarsest such topology on $\mathbb{R^{2}}$ is the usual topology
negative_passages.docid: 144246
negative_passages.text: Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
negative_passages.docid: 56646
negative_passages.text: Arithmetic progression topology
negative_passages.docid: 51871
negative_passages.text: Characterization of Topology
negative_passages.docid: 85870
negative_passages.text: Show this set is a base for some topology on $\mathbb{Z}$