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Differential fields and differentiable functions of algebraic numbers

Published online by Cambridge University Press:  24 October 2008

Eric F. Müller
Eric F. Müller
Affiliation:
Max-Planck-Straβe 1, 81627 München, Germany
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Abstract

We prove that each countable differential field of characteristic 0 can be embedded into the differential ring of infinitely differentiable functions from the algebraic numbers to the complex numbers. This statement remains valid when we replace the set of algebraic numbers by an arbitrary non-empty countable set of complex numbers without any isolated points.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 2 , September 1995 , pp. 341 - 350
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

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