independence of valuations

Let ||1, …, ||n be non-trivial (i.e., they all have also other values than 0 and 1) and pairwise non-equivalent valuations of a field K, all with values real numbers.  If a1, …, an are some elements of this field and ε is an arbitrary positive number, then there exists in K an element y which satisfies the conditions

Title independence of valuations
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