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On a syntactically defined invariant of symbolic dynamics

Published online by Cambridge University Press:  01 April 2000

WOLFGANG KRIEGER
WOLFGANG KRIEGER
Affiliation:
Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, D-69120 Heidelberg, Germany
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Abstract

A partially ordered set that is invariantly associated to a subshift is constructed. A property of subshifts, also an invariant of topological conjugacy, is described. If this property is present in a subshift then the constructed partially ordered set is a partially ordered semigroup (with zero). In the description of these invariants the notion of context is instrumental.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 501 - 516
Copyright
© 2000 Cambridge University Press

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