A Comparative Analysis of Some Results from Qp and R
A Comparative Analysis of Some Results from Qp and R

Summary/Abstract: The paper investigates whether a series of concepts and properties available in the real analysis remains valid for p-adic case. There are many similarities between R and Qp and also so many differences. First of all, R is an ordered field, which is not true for Qp. Secondly R is archimedean (that is the absolute valuation  is archimedean) while Qp is not archimedean for any p prime. This means that R is a connected metric space while Qp is totally disconnected. This proves that there is no analogous notion of interval in Qp or a notion similar to the curve. These contrasts will cause the difference between the analysis p-adic and the real analysis.

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