/sci/ - Science & Math

>>11265112
>any interesting norm or metric on a space you study via it's Zariski topology
The Euclidean metric on [math]R^2[/math]?
Ellipses, parabolas and hyperbolas, for example, can be constructed purely from the Euclidean metric (ellipse, for example, as the set of points whose distance to two different points sum to a certain prescribed value, as you well know), but you'll study these geometric objects by considering them as closed in the Zariski topology in [math]R^2[/math], ascribing them polynomials and studying those.

I might have completely misunderstood your question, tho.
>Just trying to stay 3D here.
2D is best.