A remark about critical sets in $R^3$
Geometric Topology
2016-10-07 v1 Classical Analysis and ODEs
Abstract
We give a necessary condition for a closed subset of to be the set of critical points of some smooth function. In particular we obtain that for example neither the Whitehead continuum nor the p-adic solenoid are such a critical sets.
Cite
@article{arxiv.1610.01979,
title = {A remark about critical sets in $R^3$},
author = {Juan Souto},
journal= {arXiv preprint arXiv:1610.01979},
year = {2016}
}
Comments
9 pages