• Corpus ID: 236906256

\'Ez fields

@inproceedings{Walsberg2021EzF,
  title={\'Ez fields},
  author={Erik Walsberg and Jinhe Ye},
  year={2021}
}
Let K be a field. The étale open topology on the K-points V (K) of a K-variety V was introduced in [JTWY]. The étale open topology is non-discrete if and only if K is large. If K is separably, real, p-adically closed then the étale open topology agrees with the Zariski, order, valuation topology, respectively. We show that existentially definable sets in perfect large fields behave well with respect to this topology: such sets are finite unions of étale open subsets of Zariski closed sets. This… 

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