query: Set of isolated points closed?
positive_passages.docid: 158155
positive_passages.text: Is set of isolated points of S closed?
negative_passages.docid: 55614
negative_passages.text: Prove that a set consisting of a sequence and its limit point is closed
negative_passages.docid: 112303
negative_passages.text: Distances between closed sets on metric spaces
negative_passages.docid: 64084
negative_passages.text: Existence of a simple closed curve which is not null-homotopic
negative_passages.docid: 43584
negative_passages.text: Separability and normal closure
negative_passages.docid: 61446
negative_passages.text: Fixed point of interior of closed disk
negative_passages.docid: 15508
negative_passages.text: Projection map being a closed map
negative_passages.docid: 56728
negative_passages.text: Question about limit points of a Subset of $\mathbb{R}$
negative_passages.docid: 91682
negative_passages.text: Graph of a continuous function is closed
negative_passages.docid: 28683
negative_passages.text: Sum of two closed sets in $\mathbb R$ is closed?
negative_passages.docid: 46698
negative_passages.text: Showing a set is closed under inverses
negative_passages.docid: 81927
negative_passages.text: Example of closed and bounded in $\mathbb Q$ set that is not compact
negative_passages.docid: 156101
negative_passages.text: Is the convex hull of closed set in $\mathbb R^{n}$ is closed?
negative_passages.docid: 49374
negative_passages.text: Closure of a subset in a metric space
negative_passages.docid: 61816
negative_passages.text: Cut points and connected space
negative_passages.docid: 55729
negative_passages.text: Family of Closed/Open Nested Intervals
negative_passages.docid: 109229
negative_passages.text: An Example of a Nested Decreasing Sequence of Bounded Closed Sets with Empty Intersection