On groups of essential values of topological cylinder cocycles over minimal rotations

Volume 95 / 2003

Mieczysław K. Mentzen Colloquium Mathematicum 95 (2003), 241-253 MSC: Primary 54H20; Secondary 37B05. DOI: 10.4064/cm95-2-8

Abstract

A theory of essential values of cocycles over minimal rotations with values in locally compact Abelian groups, especially ${\mathbb R}^m$, is developed. Criteria for such a cocycle to be conservative are given. The group of essential values of a cocycle is described.

Authors

  • Mieczysław K. MentzenFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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