On strict Whitney arcs and $t$-quasi self-similar arcs

Daowei Ma, Xin Wei, Zhiying Wen

A connected compact subset $E$ of ${\mathbb{R}}^N$ is said to be a strict Whitney set if there exists a real-valued $C^1$ function $f$ on ${\mathbb{R}}^N$ with $\nabla f{|}_E\equiv 0$ su…