Abstract
In the field of p-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 ℚ p , 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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© 1993 Springer-Verlag Berlin Heidelberg
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Gouvêa, F.Q. (1993). Elementary Analysis in ℚ p . In: p-adic Numbers. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22278-2_5
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DOI: https://doi.org/10.1007/978-3-662-22278-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-56844-5
Online ISBN: 978-3-662-22278-2
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