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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive