query: Bijection between $X^\omega$ and $B$
positive_passages.docid: 21707
positive_passages.text: Constructing a Bijective function via an injective and surjective one.
negative_passages.docid: 53101
negative_passages.text: Is it true that the relation |A| < |B| is a sufficient condition for claiming that $f$ is a bijection?
negative_passages.docid: 31391
negative_passages.text: bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
negative_passages.docid: 82675
negative_passages.text: What is an example of function $f: \Bbb{N} \to \Bbb{Z}$ that is a bijection?
negative_passages.docid: 108642
negative_passages.text: $e^A$, where $A= \begin{bmatrix} 0 & \omega \\ -\omega& 0 \end{bmatrix}$
negative_passages.docid: 145875
negative_passages.text: Inverse of a bijection f is equal to its derivative
negative_passages.docid: 23125
negative_passages.text: Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
negative_passages.docid: 38257
negative_passages.text: Continuous bijection from $(0,1)$ to $[0,1]$
negative_passages.docid: 6171
negative_passages.text: Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
negative_passages.docid: 82003
negative_passages.text: Bijection between sets of ideals
negative_passages.docid: 31244
negative_passages.text: Is this a correct bijection between $(0,1]$ and $[0,1]$?
negative_passages.docid: 133699
negative_passages.text: Proving that there is a bijection between $A$ and $B$.
negative_passages.docid: 39231
negative_passages.text: Construct a bijection between $\mathbb{Z}^+\times \mathbb{Z}^+$ and $\mathbb{Z}^+$
negative_passages.docid: 109710
negative_passages.text: Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
negative_passages.docid: 1117
negative_passages.text: Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
negative_passages.docid: 110464
negative_passages.text: Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
negative_passages.docid: 110569
negative_passages.text: Does anyone know a closed-form expression for a bijection between $\mathbb{N}^k$ and $\mathbb{N}$?