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The defect of factor maps

Published online by Cambridge University Press:  12 April 2001

KLAUS THOMSEN
KLAUS THOMSEN
Affiliation:
Matematisk Institut, Ny Munkegade, 8000 Aarhus C, Denmark (e-mail: matkt@mi.aau.dk)
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Abstract

The defect of a factor map out of a totally disconnected dynamical system is a number in $[0,\infty]$ which gives a quantitative measure of how well the dynamical behaviour of the factor agrees with that of the extension. The larger the defect, the more they differ. In this paper we obtain the basic general properties of the defect and calculate it in a series of specific cases.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 5 , October 1997 , pp. 1233 - 1256
Copyright
1997 Cambridge University Press

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