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

Mieczysław K. Mentzen

Colloquium Mathematicae (2003)

  • Volume: 95, Issue: 2, page 241-253
  • ISSN: 0010-1354

Abstract

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

How to cite

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Mieczysław K. Mentzen. "On groups of essential values of topological cylinder cocycles over minimal rotations." Colloquium Mathematicae 95.2 (2003): 241-253. <http://eudml.org/doc/284578>.

@article{MieczysławK2003,
abstract = {A theory of essential values of cocycles over minimal rotations with values in locally compact Abelian groups, especially $ℝ^m$, is developed. Criteria for such a cocycle to be conservative are given. The group of essential values of a cocycle is described.},
author = {Mieczysław K. Mentzen},
journal = {Colloquium Mathematicae},
keywords = {topological dynamics; topological transitivity; minimality; cocycle; essential value},
language = {eng},
number = {2},
pages = {241-253},
title = {On groups of essential values of topological cylinder cocycles over minimal rotations},
url = {http://eudml.org/doc/284578},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Mieczysław K. Mentzen
TI - On groups of essential values of topological cylinder cocycles over minimal rotations
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 241
EP - 253
AB - A theory of essential values of cocycles over minimal rotations with values in locally compact Abelian groups, especially $ℝ^m$, is developed. Criteria for such a cocycle to be conservative are given. The group of essential values of a cocycle is described.
LA - eng
KW - topological dynamics; topological transitivity; minimality; cocycle; essential value
UR - http://eudml.org/doc/284578
ER -

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