p-Adic Numbers and Adeles

  • Anton DeitmarEmail author
  • Siegfried Echterhoff
Part of the Universitext book series (UTX)


The majority of the examples of topological groups in this book given so far, are locally euclidean, meaning that the groups are locally homeomorphic to \({\mathbb R}^n.\) In this chapter the reader will see some examples which are not of this type. These examples, the p-adic numbers and the adeles, resp. ideles, are not only interesting as examples of this theory, but they also carry great importance for other areas of mathematics, in particular number theory.

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Universität Tübingen Institut für MathematikTübingenGermany
  2. 2.Universität Münster Mathematisches InstitutMünsterGermany

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