Topological Study of Pairs of Algebraically Closed Fields
Logic
2017-06-08 v1
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.
Keywords
Cite
@article{arxiv.1706.02157,
title = {Topological Study of Pairs of Algebraically Closed Fields},
author = {Ayhan Günaydın},
journal= {arXiv preprint arXiv:1706.02157},
year = {2017}
}