2024/07/12 by Andrea Ammerlaan, Ammerlaan, Andrea, Ana Anušić +3
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Mathematics #General Topology (math.GN) #Mathematical Dynamics and Fractals #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2407.09677
openalex publication_date 2024/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that if X is an arc-like continuum, then for every point x ∈ X there is a plane embedding of X in which x is an accessible point. This answers a question posed by Nadler in 1972, which has become known as the Nadler-Quinn problem in continuum theory. Towards this end, we develop the theories of truncations and contour factorizations of interval maps. As a corollary, we answer a question of Mayer from 1982 about inequivalent plane embeddings of indecomposable arc-like continua.