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Preprint Number 1232

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1232. Ayhan Günaydın
Topological Study of Pairs of Algebraically Closed Fields
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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.

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Full text arXiv 1706.02157: pdf, ps.


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