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| -rw-r--r-- | Problem Set 2.page | 2 |
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diff --git a/Problem Set 2.page b/Problem Set 2.page index d65f293..5900d7f 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -44,4 +44,4 @@ Cardinality of the natural numbers (countable): $\mathbf{N}$,$\mathbf{Z}$ Cardinality of the real numbers (continuum): $\mathbf{R}$ Proofs: -- $\mathbf{Z}=\mathbf{N}$ under the bijection $n \mapsto 2n+1$ for nonnegative $n$ and $n \mapsto 2|n|$ for negative $n$. For example, ${-2,-1,0,1,2} \mapsto {4,2,1,3,5}$.
\ No newline at end of file +- $\mathbf{Z}=\mathbf{N}$ under the bijection $n \mapsto 2n+1$ for nonnegative $n$ and $n \mapsto 2|n|$ for negative $n$. For example, $\{-2,-1,0,1,2\} \mapsto \{4,2,1,3,5\}$.
\ No newline at end of file |