The Nadler–Quinn problem for simplicial inverse systems
Volume 267 / 2024
Fundamenta Mathematicae 267 (2024), 157-180
MSC: Primary 54F15; Secondary 54C25, 54F50
DOI: 10.4064/fm231204-12-8
Published online: 31 October 2024
Abstract
We show that if $X$ is an arc-like continuum which can be represented as an inverse limit of a simplicial inverse system on arcs, then for every point $x \in X$ there is a plane embedding of $X$ in which $x$ is accessible. This answers a special case of the Nadler–Quinn question from 1972.
