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Erschienen in:
Buchtitelbild

2000 | OriginalPaper | Buchkapitel

Valuated Fields

verfasst von : O. Timothy O’Meara

Erschienen in: Introduction to Quadratic Forms

Verlag: Springer Berlin Heidelberg

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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.

Metadaten
Titel
Valuated Fields
verfasst von
O. Timothy O’Meara
Copyright-Jahr
2000
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-62031-7_1