Embedding Henselian fields into power series

  title={Embedding Henselian fields into power series},
  author={Antongiulio Fornasiero},
Every Henselian field of residue characteristic 0 admits a truncation-closed embedding in a field of generalised power series (possibly, with a factor set). As corollaries we obtain the Ax-Kochen-Ershov theorem and an extension of Mourgues’ and Ressayre’s theorem: every ordered field which is Henselian in its natural valuation has an integer part. We also give some results for the mixed and the finite characteristic cases. 

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