Chun-Kit Lai

collaborators

3 papers

math.CA2025

Topological ErdÅs similarity conjecture and strong measure zero sets

Yeonwook Jung, Chun-Kit Lai

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

math.CA2025

Fifty years of the ErdÅs similarity conjecture

Yeonwook Jung, Chun-Kit Lai, Yuveshen Mooroogen

ErdÅs similarity conjecture was proposed by P. ErdÅs in 1974. The conjecture remains open for exponentially decaying sequences as well as Cantor sets that have both Newhouse thic…

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…

Topological ErdÅs similarity conjecture and strong measure zero sets

Fifty years of the ErdÅs similarity conjecture

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

Topological ErdÅs similarity conjecture and strong measure zero sets

Fifty years of the ErdÅs similarity conjecture