Výsledky vyhledávání - "Jung, Yeonwook"

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Topological Erd\H{o}s similarity conjecture and Strong Measure zero sets

We resolve the topological version of the Erd\H{o}s Similarity conjecture introduced previously by Gallagher, Lai and Weber. We show that a set is topologically universal on ${\mathbb R}$ if and only if it is of strong measure zero. As a result of th

Externí odkaz: http://arxiv.org/abs/2410.01275

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

Autor: Jung, Yeonwook, Lai, Chun-Kit

We show that for all Cantor set $K_1$ on ${\mathbb R}^d$, 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 diffeomorphism) has non-empty interior, and the existence of the interior is ro

Externí odkaz: http://arxiv.org/abs/2410.01267

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