2 papers
math.MG2021
Constructing Whitney sets via IFS with condensation
Qi-han Yuan, Yuan Zhang
In 1935, Whitney constructed a smooth function for which the Morse-Sard Theorem does not hold. Whitney's construction is closely related to certain compact connected set, which is…
math.GT2020
Relations between topological and metrical properties of self-affine Sierpiski sponges
Yuan Zhang, Liang-Yi Huang
We investigate two Lipschitz invariants of metric spaces defined by -connected components, called the maximal power law property and the perfectly disconnectedness. The first pr…