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math.FA2024
A sharp quantitative estimate of critical sets
Andrew Murdza, Khai T. Nguyen
The paper establishes a sharp quantitative estimate for the -Hausdorff measure of the critical set of vector-valued functions on . Additionally…
math.FA2023
A lower bound on the quantitative version of the transversality theorem
Andrew Murdza, Khai T. Nguyen
The present paper studies a quantitative version of the transversality theorem. More precisely, given a continuous function and a manifold…