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Is the hierarchy of relative geometric constructibility by straightedge and compass a dense ...

There are three answers. Throughout let $qcl(F)$ be the quadratic closure of a field $F$ inside $\mathbb{C}$. Part 1: Yes there is a quadratically closed field strictly between $qcl(\mathbb{Q})$ and …
Pace Nielsen's user avatar
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6 votes

Is the hierarchy of relative geometric constructibility by straightedge and compass a dense ...

I've figured out how to do the finite graph case, in the negative. The ordering of quadratically closed fields is not dense in that case either. Throughout let $qcl(F)$ denote the quadratic closure …
Pace Nielsen's user avatar
  • 18.7k