Omega limit set

For Omega1.jpg , denote

Omega2.jpg

Omega3.jpg


The set Omega4.jpg is called the omega limit set of Omega5.jpg . Note that Omega6.jpg is closed. If Omega7.jpg consists of a single point, then the above definition reduces to the classical definition of the omega limit set of a point:

Omega8.jpg


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Copyright (c) 1998 by Richard McGehee, all rights reserved.
Last modified: July 31, 1998.