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Isomorphism classes of products of powers for graphic flows

Published online by Cambridge University Press:  17 April 2001

J. AUSLANDER
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA
N. MARKLEY
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA

Abstract

A graphic flow is a totally minimal flow such that the onlyminimal subsets of the product flow are the graphs of the powersof the defining homeomorphism [2]. We consider flows of theform $(X^{k},T^{L})$, where $(X,T)$ is graphic, $k$ is a positiveinteger, and $L:\{1,\ldots,k\}\to {\Bbb Z}\setminus \{0\}$. It isshown that the isomorphism classes of these flows aredetermined by the cardinality of $L^{-1}(p)$.

Information

Type
Research Article
Copyright
1997 Cambridge University Press

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