query: Constract a compact set of real numbers whose limit points form a countable set.
positive_passages.docid: 76918
positive_passages.text: Construct a compact set of real numbers whose limit points form a countable set.
negative_passages.docid: 22558
negative_passages.text: Vitali-type set with given outer measure
negative_passages.docid: 18222
negative_passages.text: Set of continuity points of a real function
negative_passages.docid: 65976
negative_passages.text: in a topological space only finite subsets are compact sets
negative_passages.docid: 39842
negative_passages.text: Limit point Compactness does not imply compactness counter-example
negative_passages.docid: 68994
negative_passages.text: Countable closed sets
negative_passages.docid: 11586
negative_passages.text: Sequences of Real Numbers in a closed bounded interval
negative_passages.docid: 55648
negative_passages.text: Intersection of finite number of compact sets is compact?
negative_passages.docid: 3708
negative_passages.text: How can I prove that compact subset iff sequentially compact in second countable topological spaces?
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
negative_passages.docid: 73154
negative_passages.text: Compact subset in colimit of spaces
negative_passages.docid: 8015
negative_passages.text: Compact set plus a closed set is a closed set
negative_passages.docid: 138607
negative_passages.text: Proof that a limit point compact metric space is compact.
negative_passages.docid: 78763
negative_passages.text: Prove that $ S=\{0\}\cup\left(\bigcup_{n=0}^{\infty} \{\frac{1}{n}\}\right)$ is a compact set in $\mathbb{R}$.
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 136659
negative_passages.text: Composition of limits
negative_passages.docid: 130361
negative_passages.text: Basis for a topology with a countable number of sets