Submission date: 7 June 2017

Abstract:

We construct a topology on a given algebraically closed field with a distinguished subfield which is also algebraically closed. This topology is finer than Zariski topology and it captures the sets definable in the pair of algebraically closed fields as above; in the sense that definable sets are exactly the constructible sets in this topology.

Mathematics Subject Classification:

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Full text arXiv 1706.02157: pdf, ps.