query: Cardinality of $ X\times \mathbb{N} $ when $X$ is infinite
positive_passages.docid: 9651
positive_passages.text: Cardinality of cartesian product of an infinite set with N
negative_passages.docid: 65768
negative_passages.text: What is the cardinality of the set of the empty set?
negative_passages.docid: 132537
negative_passages.text: Class of sets of a given infinite cardinality
negative_passages.docid: 92639
negative_passages.text: Prove that the family of open sets in $\mathbb{R}$ has cardinality equal to $2^{\aleph_0}$
negative_passages.docid: 30519
negative_passages.text: "Real" cardinality, say, $\aleph_\pi$?
negative_passages.docid: 41783
negative_passages.text: Cardinality of the Cartesian Product of Two Equinumerous Infinite Sets
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 68230
negative_passages.text: The cardinality of a countable union of sets with less than continuum cardinality
negative_passages.docid: 48278
negative_passages.text: Inequality about infinite cardinals
negative_passages.docid: 158671
negative_passages.text: Cardinality of a set that consists of all existing cardinalities
negative_passages.docid: 39880
negative_passages.text: Cardinality of Orderings of $\mathbb{R}$
negative_passages.docid: 79568
negative_passages.text: Cardinality of the set $D$
negative_passages.docid: 82947
negative_passages.text: Undecidable cardinality
negative_passages.docid: 157513
negative_passages.text: How can I prove that these sets are countable infinite?
negative_passages.docid: 111008
negative_passages.text: Show that $X $ is a infinite set ,it is connected in the finite complement topology?
negative_passages.docid: 50880
negative_passages.text: Expressing $\Bbb N$ as an infinite union of disjoint infinite subsets.
negative_passages.docid: 71967
negative_passages.text: cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence