query: Prove or disprove that accumulation of a set is $(0,0)$
positive_passages.docid: 24266
positive_passages.text: Accumulation points of the set $S=\{(\frac {1} {n}, \frac {1} {m}) \space m, n \in \mathbb N\}$
negative_passages.docid: 21820
negative_passages.text: How to prove that a set is invariant?
negative_passages.docid: 13398
negative_passages.text: Prove that the interval $(0, 1)$ and the Cartesian product $(0, 1) \times (0, 1)$ have the same cardinality
negative_passages.docid: 120064
negative_passages.text: Proving that without the axiom of choice there is a set with an accumulation point that isn'tthe limit of a convergeant sequence
negative_passages.docid: 93771
negative_passages.text: Prove that for any set $A$ there is some $x \notin A$
negative_passages.docid: 99854
negative_passages.text: Must an uncountable subset of R have uncountably many accumulation points?
negative_passages.docid: 40014
negative_passages.text: A polynomial that is zero on an open set
negative_passages.docid: 95947
negative_passages.text: Cantor set + Cantor set =$[0,2]$
negative_passages.docid: 33310
negative_passages.text: Proving that the set of limit points of a set is closed
negative_passages.docid: 90590
negative_passages.text: Prove that the following set is dense
negative_passages.docid: 19838
negative_passages.text: Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
negative_passages.docid: 67084
negative_passages.text: Prove or disprove that $\lim_{n \to \infty} {n \choose k} / a^n = 0$ for all $k \in \mathbb{Z_+}, a \in \mathbb{R}: a> 1$.
negative_passages.docid: 1409
negative_passages.text: Proving that the given set has at most $2^{n-1}$ elements
negative_passages.docid: 141895
negative_passages.text: Proving that a sequence is monotone
negative_passages.docid: 124115
negative_passages.text: Give an example of a set that has the set of natural numbers as it s set of accumulation points.
negative_passages.docid: 113083
negative_passages.text: How to prove a set equality?
negative_passages.docid: 42603
negative_passages.text: How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?