independence of valuations
Let , …, be non-trivial (i.e., they all have also other values than 0 and 1) and pairwise non-equivalent valuations of a field , all with values real numbers. If , …, are some elements of this field and is an arbitrary positive number, then there exists in an element which satisfies the conditions
Title | independence of valuations |
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Canonical name | IndependenceOfValuations |
Date of creation | 2013-03-22 14:11:44 |
Last modified on | 2013-03-22 14:11:44 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 22 |
Author | pahio (2872) |
Entry type | Theorem |
Classification | msc 11R99 |
Synonym | approximation theorem |
Related topic | TrivialValuation |
Related topic | EquivalentValuations |
Related topic | WeakApproximationTheorem |