Generalized recurrence, compactifications, and the Lyapunov topology
Volume 201 / 2010
Studia Mathematica 201 (2010), 49-63
MSC: Primary 54H20.
DOI: 10.4064/sm201-1-4
Abstract
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.
