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Minimal dynamics on Menger manifolds

✍ Scribed by C.W. Stark


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
707 KB
Volume
90
Category
Article
ISSN
0166-8641

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✦ Synopsis


The Menger universal spaces are realized as invariant sets of noninvertible, expanding maps.

Minimal actions on these spaces of free groups with two or three generators are exhibited.


πŸ“œ SIMILAR VOLUMES


Measures and topological dynamics on Men
✍ H. Kato; K. Kawamura; H.M. Tuncali; E.D. Tymchatyn πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 318 KB

We study nonatomic, locally positive, Lebesgue-Stieltjes measures on compact Menger manifolds and show that the set of all ergodic homeomorphisms on any compact Menger manifold X forms a dense G Ξ΄ set in the space of all measure preserving autohomeomorphisms of X with the compactopen topology. In pa