Abstract
Recall that a metric on a set X is a map d: X × X → ℝ+ such that
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1.
$$d(x,y) = 0 \Leftrightarrow x = y$$
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2.
$$d(x,y) = d(y,x) $$
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3.
$$d(x,y) \leqslant d(x,z) + d(z,y)\quad \forall z \in X$$
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© 2001 Springer Science+Business Media New York
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Murty, M.R. (2001). p-adic Methods. In: Problems in Analytic Number Theory. Graduate Texts in Mathematics, vol 206. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3441-6_10
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DOI: https://doi.org/10.1007/978-1-4757-3441-6_10
Publisher Name: Springer, New York, NY
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