query: Construct a compact set with countably infinite limit points using $1/n + 1/m$ (Rudin, Cooke)
positive_passages.docid: 18152
positive_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: 138768
negative_passages.text: Showing that the family of Borel sets is countably generated
negative_passages.docid: 60424
negative_passages.text: Uncountable family of uncountable compact subsets of $\mathbb{R}$
negative_passages.docid: 31889
negative_passages.text: The limit as $n$ approaches infinity of $n(a^{1/n}-1)$
negative_passages.docid: 22558
negative_passages.text: Vitali-type set with given outer measure
negative_passages.docid: 157513
negative_passages.text: How can I prove that these sets are countable infinite?
negative_passages.docid: 55614
negative_passages.text: Prove that a set consisting of a sequence and its limit point is closed
negative_passages.docid: 42698
negative_passages.text: Set of limit points of a subset of a Hausdorff space is closed.
negative_passages.docid: 9021
negative_passages.text: An infinite subset of a countable set is countable
negative_passages.docid: 9651
negative_passages.text: Cardinality of cartesian product of an infinite set with N
negative_passages.docid: 23442
negative_passages.text: Cardinality of the union of infinite and countable sets
negative_passages.docid: 44430
negative_passages.text: Is there an open dense set $S \subset [0,1]$ such that $m(S)<1$?
negative_passages.docid: 2882
negative_passages.text: Limit points of the set $\{\frac {\varphi(n) }n : n\in \mathbb{N}\}$
negative_passages.docid: 119624
negative_passages.text: A Dedekind infinite set has a countably infinite proper subset
negative_passages.docid: 51223
negative_passages.text: Example of decreasing sequence of sets with first set having infinite measure
negative_passages.docid: 73934
negative_passages.text: Subadditive sequences and the limit $\sup_{n\to\infty} a_n / n$
negative_passages.docid: 132868
negative_passages.text: Bijection between an infinite set and its union of a countably infinite set