A subscription is required to access this article.
We give a necessary condition for a 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 critical sets.
Cite this article
Juan Souto, A remark about critical sets in . Rev. Mat. Iberoam. 35 (2019), no. 2, pp. 461–469DOI 10.4171/RMI/1059