Generalized recurrence, compactifications, and the Lyapunov topology

• Autorzy: Ethan Akin , Joseph Auslander
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 201
• Numer: 1
• Strony: 49-63

Daty

wydano

2010

Twórcy

autor

Ethan Akin

• Department of Mathematics, City College of New York, New York, NY 10031-9100, U.S.A.

autor

Joseph Auslander

• Department of Mathematics, University of Maryland, College Park, MD 20742-0001, U.S.A.

Identyfikatory

DOI

10.4064/sm201-1-4