TOWARD A THEORY OF FORCING ON MAPS OF TREES

Autor: Stewart Baldwin
Rok vydání: 1995
Předmět:
Zdroj: International Journal of Bifurcation and Chaos. :1307-1318
ISSN: 1793-6551
0218-1274
Popis: The "forcing" relation on patterns of invariant subsets of maps on the interval has proved to be a useful tool for studying the dynamics of interval maps. However, attempts to generalize this relation to more general spaces (such as trees) have met with difficulties. A new relation is introduced, which is well-defined for all continuous maps on any dendrite, is closely related to the forcing relation on the unit interval, and has at least some of the nice properties on trees which one would expect from a generalized forcing relation.
Databáze: OpenAIRE