Generalized recurrence, compactifications, and the Lyapunov topology

@article{EthanAkin2010,
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.},
author = {Ethan Akin, Joseph Auslander},
journal = {Studia Mathematica},
keywords = {closed relation; generalized recurrence; real flow; Lyapunov function},
language = {eng},
number = {1},
pages = {49-63},
title = {Generalized recurrence, compactifications, and the Lyapunov topology},
url = {http://eudml.org/doc/285536},
volume = {201},
year = {2010},
}

TY - JOUR
AU - Ethan Akin
AU - Joseph Auslander
TI - Generalized recurrence, compactifications, and the Lyapunov topology
JO - Studia Mathematica
PY - 2010
VL - 201
IS - 1
SP - 49
EP - 63
AB - 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.
LA - eng
KW - closed relation; generalized recurrence; real flow; Lyapunov function
UR - http://eudml.org/doc/285536
ER -