An elementary example of Sard's Theorem sharpness
Classical Analysis and ODEs
2022-02-17 v1
Abstract
In this note we define a function that satisfies that its set of critical values has positive measure. This function provides an example, easier than those that usually appear in the literature, of how the order of differentiability required in Sard's Theorem cannot be improved
Cite
@article{arxiv.2202.08000,
title = {An elementary example of Sard's Theorem sharpness},
author = {Juan Ferrera},
journal= {arXiv preprint arXiv:2202.08000},
year = {2022}
}
Comments
4 pages note-