Category:Integers are Dense in P-adic Integers
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This category contains pages concerning Integers are Dense in P-adic Integers:
Let $p$ be a prime number.
Let $\struct {\Q_p, \norm {\,\cdot\,}_p}$ be the $p$-adic numbers.
Let $\Z_p$ be the $p$-adic integers.
Let $d_p$ be the metric induced by the norm $\norm {\,\cdot\,}_p$ restricted to the $p$-adic integers.
The integers $\Z$ are dense in the metric space $\struct{\Z_p, d_p}$.
Corollary
The integers $\Z$ are dense in the closed ball $\map {B^-_1} 0$.
Pages in category "Integers are Dense in P-adic Integers"
The following 2 pages are in this category, out of 2 total.