query: limit point set and closed condition
positive_passages.docid: 33310
positive_passages.text: Proving that the set of limit points of a set is closed
negative_passages.docid: 39842
negative_passages.text: Limit point Compactness does not imply compactness counter-example
negative_passages.docid: 46698
negative_passages.text: Showing a set is closed under inverses
negative_passages.docid: 49703
negative_passages.text: Analogue of closed graph theorem
negative_passages.docid: 61446
negative_passages.text: Fixed point of interior of closed disk
negative_passages.docid: 50019
negative_passages.text: Prove $0$ is a partial limit of $a_n$
negative_passages.docid: 47820
negative_passages.text: How can I show a supremum of a set is also its limit point?
negative_passages.docid: 127173
negative_passages.text: Closed subset of compact set is compact
negative_passages.docid: 78117
negative_passages.text: Closed property of nonempty finite set
negative_passages.docid: 130307
negative_passages.text: Limits under multiple \sum
negative_passages.docid: 2882
negative_passages.text: Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$
negative_passages.docid: 79490
negative_passages.text: Proving the set of points at which a function diverges to $\infty$ is countable
negative_passages.docid: 18152
negative_passages.text: Find the limit points of the set $\{ \frac{1}{n} +\frac{1}{m} \mid n , m = 1,2,3,\dots \}$
negative_passages.docid: 115376
negative_passages.text: Is $(-\infty,3]\cap(0,1)^c\cap[-1,\infty)$ closed? Open? What are interior points?
negative_passages.docid: 64523
negative_passages.text: interior points and limit points of $\{(x,y): x^2+2y^2 < 1\}$
negative_passages.docid: 1911
negative_passages.text: Find a set of limit point of $A=\{ \frac{1}{m}+\frac{1}{n} : m,n \in \Bbb{N} \}$ in $\Bbb{R}$ by using the following way.
negative_passages.docid: 66824
negative_passages.text: Two definitions of $\limsup$