Valuated Fields

  • O. Timothy O’Meara
Part of the Classics in Mathematics book series (volume 117)


The descriptive language of general topology is known to all mathematicians. The concept of a valuation allows one to introduce this language into the theory of algebraic numbers in a natural and fruitful way. We therefore propose to study some of the connections between valuation theory, algebraic number theory, and topology. Strictly speaking the topological considerations are just of a conceptual nature and in fact only the most elementary results on metric spaces and topological groups will be used; nevertheless these considerations are essential to the point of view taken throughout this chapter and indeed throughout the entire book.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • O. Timothy O’Meara
    • 1
  1. 1.Department of MathematicsUniversity of Notre DameNotre DameUSA

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