Chun-Kit Lai

activity

20232025

collaborators

Showing 2024Show all

2 papers · 1 filter

math.MG2024

Interior of certain sums and continuous images of very thin Cantor sets

Yeonwook Jung, Chun-Kit Lai

We show that for all Cantor set $K_{1}$ on $R^{d}$ , it is always possible to find another Cantor set $K_{2}$ so that the sum $g (K_{1}) + K_{2}$ (where $g$ is a $C^{1}$ local diffeomor…

math.CA2024

Topological Erdős similarity conjecture and strong measure zero sets

Yeonwook Jung, Chun-Kit Lai

We resolve the topological version of the Erdős Similarity conjecture introduced previously by Gallagher, Lai and Weber. We show that a set is topologically universal on ${\mathbb…