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math.CO2026
Solving polynomial inequalities over spaces of convex sets and applications
Saugata Basu, Hamidreza Amini Khorasgani, Hemanta K. Maji +1
We develop a symbolic elimination theory for finite systems of recursive containment inequalities whose unknowns are convex subsets of a finite-dimensional real vector space. The r…
math.AT2026
Essential Simplices Dominate in Harmonic Representatives of One-Dimensional Persistent Classes
Saugata Basu, Aldo Guzmán-Sáenz, Laxmi Parida
Persistent homology summarizes the birth and death of topological features, but it does not by itself specify where a feature is located in the underlying complex. Harmonic persist…