A conjecture by Agronsky and Ceder from 1991 stating that a continuum is an orbit enclosing omega-limit set of a continuous map from the k-dimensional cube into itself if and only if it is arcwise connected, is disproved in both directions.
A conjecture by Agronsky and Ceder from 1991 stating that a continuum is an orbit enclosing omega-limit set of a continuous map from the k-dimensional cube into itself if and only if it is arcwise connected, is disproved in both directions. (en)