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arXiv · 1706.02157

Topological Study of Pairs of Algebraically Closed Fields

Ayhan Günaydın
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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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Ayhan Günaydın. 2017-06-07. Topological Study of Pairs of Algebraically Closed Fields. https://arxiv.org/abs/1706.02157

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