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Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
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Crossing number of some Sphere of Influence Graphs and relation to their coloring number
My motivation is to apply some graph theoretic methods in real analysis (like in a simple proof that every open real set $ A $ is coutable union of disjoint graph - take the connected component of the …
1
vote
Crossing number of some Sphere of Influence Graphs and relation to their coloring number
I believe that it's not the direction after all. If we look at the geometric question than we get the there exists no such k (the proof is very trivial, take unbounded connected components of 4 inters …