Geodesic
Generalized recurrence, compactifications, and the Lyapunov topology
Ethan Akin 1   ; Joseph Auslander 2
1 Department of Mathematics City College of New York New York, NY 10031-9100, U.S.A.
2 Department of Mathematics University of Maryland College Park, MD 20742-0001, U.S.A.
Studia Mathematica, Tome 201 (2010) no. 1, pp. 49-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm201-1-4
Keywords: study generalized recurrence closed relations locally compact spaces includes continuous maps real flows main tools lyapunov functions their compactifications under certain conditions shown lyapunov functions determine topology space

Ethan Akin  1   ; Joseph Auslander  2

1 Department of Mathematics City College of New York New York, NY 10031-9100, U.S.A.
2 Department of Mathematics University of Maryland College Park, MD 20742-0001, U.S.A. 
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Ethan Akin; Joseph Auslander. Generalized recurrence, compactifications,
 and the Lyapunov topology. Studia Mathematica, Tome 201 (2010) no. 1, pp. 49-63. doi: 10.4064/sm201-1-4

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