and you can think about rectifiable things as giving you measures (just the hausdorff measure restricted to it) and the push forward of that measure by the blow up maps is gonna converge in the measure theoretic sense to the measure of the plane
I have a lot of reading projects right now to make up for not being around people doing math all the time and it’s a decent flow but not getting to go to my department really sucks
@BalarkaSen i wonder if there is a PDE kind of pov here, 1/z looks like r/|r|^2 (this is not exactly right ik dont at me) which is the gradient of log|r| which is the fundamental solution to the laplacian