Constructing the Completion of a Field Using Quasimorphisms

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We explain how the construction of the real numbers using quasimorphisms can be transformed into a general method to construct the completion of a field with respect to an absolute value.

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We thank an anonymous referee for pointing us to the notion of near-rings.


The research was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 338540207.

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Correspondence to Steffen Kionke.

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The text was submitted by the author in English.

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Kionke, S. Constructing the Completion of a Field Using Quasimorphisms. P-Adic Num Ultrametr Anal Appl 11, 335–337 (2019).

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Key words

  • completion
  • quasimorphisms
  • near-rings