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Ellis groups of quasi-factors of minimal flows

100%

Auslander J.

Colloquium Mathematicum

2000

tom 84/85

nr 2

319-326

A quasi-factor of a minimal flow is a minimal subset of the induced flow on the space of closed subsets. We study a particular kind of quasi-factor (a 'joining' quasi-factor) using the Galois theory of minimal flows. We also investigate the relation between factors and quasi-factors.

Generalized recurrence, compactifications, and the Lyapunov topology

63%

Akin E., Auslander J.

Studia Mathematica

2010

tom 201

nr 1

49-63

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Auslander J.

1 Akin E.

1 2010

1 2000

Wyniki wyszukiwania

Ellis groups of quasi-factors of minimal flows

Generalized recurrence, compactifications, and the Lyapunov topology