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math.DS2018
Combinatorial Proof of Kakutani's Fixed Point Theorem
Yitzchak Shmalo
Kakutani's fixed point theorem is a generalization of Brouwer's fixed point theorem to upper semicontinuous multivalued maps and is used extensively in game theory and other areas…
math-ph2018★ 24 cited
The K-Theoretic Bulk-Boundary Principle for Dynamically Patterned Resonators
Emil Prodan, Yitzchak Shmalo
Starting from a dynamical system , with a generic topological group, we devise algorithms that generate families of patterns in the Euclidean space, which densely embed…