Two Counterexamples to a Conjecture by Agronsky and Ceder.

Autor: Jiménez López, V., Smítal, J.
Zdroj: Acta Mathematica Hungarica; Aug2000, Vol. 88 Issue 3, p193-204, 12p
Abstrakt: A conjecture by Agronsky and Ceder [3], stating that a continuum is an orbit enclosing ω-limit set of a continuous map from the k-dimensional cube I k into itself if and only if it is arcwise connected, is disproved in both directions. Our main result is a general theorem allowing a construction of orbit enclosing ω-limit sets for triangular maps. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index