Definable Valuations Induced by Definable Subgroups

  • Dupont K
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Abstract

In [Koe94] Koenigsmann shows that every field that admits a t-henselian topology is either real closed or separably closed or admits a definable valuation inducing the t-henselian topology. To show this Koenigsmann investigates valuation rings induced by certain (definable) subgroups of the field. The aim of this paper, based on the authors PhD thesis [Dup15], is to look at the methods used in [Koe94] in greater detail and correct a mistake in the original paper based on [JK15a].

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Dupont, K. (2017). Definable Valuations Induced by Definable Subgroups. In Groups, Modules, and Model Theory - Surveys and Recent Developments (pp. 83–108). Springer International Publishing. https://doi.org/10.1007/978-3-319-51718-6_5

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