Generalized recurrence, compactifications, and the Lyapunov topology
Ethan Akin ; Joseph Auslander
Studia Mathematica, Tome 196 (2010), p. 49-63 / Harvested from The Polish Digital Mathematics Library
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We study generalized recurrence for closed relations on locally compact spaces. This includes continuous maps and real flows. The main tools are Lyapunov functions and their compactifications. Under certain conditions it is shown that the Lyapunov functions determine the topology of the space.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285536 
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Ethan Akin; Joseph Auslander. Generalized recurrence, compactifications, and the Lyapunov topology. Studia Mathematica, Tome 196 (2010) pp. 49-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm201-1-4/