Electronic Resource
Springer
Acta mathematica hungarica
88 (2000), S. 193-204
ISSN:
1588-2632
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006709129380
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