On the weak isomorphism of strictly ergodic homeomorphisms
type: Item
instance of: scholarly article
title: On the weak isomorphism of strictly ergodic homeomorphisms
zbMATH Open document ID: 0679.28008
DOI: 10.1007/BF01300065
published in: Monatshefte für Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178435
review text: Two strictly ergodic homeomorphisms on an infinite dimensional torus are constructed each of which is a continuous homomorphic image of the other but which are not measure-theoretically isomorphic.
Mathematics Subject Classification ID: 28D05
zbMATH DE Number: 4112934
zbMATH Keywords: cocycle
zbMATH Keywords: weak isomorphism
zbMATH Keywords: strictly ergodic homeomorphisms
author: M. Lemańczyk
MaRDI profile type: Publication
cites work: Q5805270
cites work: Endomorphisms of minimal sets
cites work: Q4014134
cites work: Weakly isomorphic transformations that are not isomorphic
cites work: On Canonical Factors of Ergodic Dynamical Systems
cites work: Compact abelian group extensions of discrete dynamical systems
cites work: Q5599543
cites work: ℤn and ℝn cocycle extensions and complementary algebras
cites work: An example of a measure preserving map with minimal self-joinings, and applications
cites work: Strictly ergodic models for dynamical systems
Wikidata QID: Q131357741
description: scientific article; zbMATH DE number 4112934