Abstract
In the field ofp-adic numbers we have an object that in many ways is analogous to the field of real numbers: it is a field with an absolute value, and it is complete with respect to the metric given by that absolute value. In fact, the similarities go deeper: ℝ and the various ℚp are completions of ℚ hence contain ℚ as a dense subset; they are all locally compact; none of them are algebraically closed.
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© 1997 Springer-Verlag Berlin Heidelberg
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Gouvêa, F.Q. (1997). Elementary Analysis in ℚp. In: p-adic Numbers. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59058-0_5
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DOI: https://doi.org/10.1007/978-3-642-59058-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62911-5
Online ISBN: 978-3-642-59058-0
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