@misc{murdza_nguyen_2023, title={A lower bound on the quantitative version of the transversality theorem}, volume={528}, ISSN={["1096-0813"]}, DOI={10.1016/j.jmaa.2023.127539}, abstractNote={The present paper establishes a lower estimate on the quantitative version of the transversality theorem. More precisely, given a continuous function f:[0,1]d→Rm and a smooth manifold W⊂Rm of dimension p, a sharpness result on the upper quantitative bound of the (d+p−m)-dimensional Hausdorff measure of ZWf≐{x∈[0,1]d:f(x)∈W}, which was achieved in [11], will be proved in terms of power functions.}, number={1}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Murdza, Andrew and Nguyen, Khai T.}, year={2023}, month={Dec} }