Necessary and sufficient condition of Morse-Sard theorem for real valued functions
Abstract
Necessary and sufficient condition is given for a set A⊂ R1 to be a subset of the critical values set for a Ck function f:Rm R1.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.