Helly’s Theorem Demystified: From Local Overlaps to Global Intersection

Join us for an accessible tour of Helly’s theorem in discrete geometry. We’ll define convex sets, state the finite d-dimensional version, and show why every collection of d+1-wise intersections implies a global intersection. We’ll also peek at the historical backdrop (Helly, Radon, König) and explore extensions like colorful Helly and fractional Helly, plus real-world applications in optimization and data analysis.

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