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Constant-to-one extensions of shifts of finite type
Author(s):
Doris
Fiebig
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2917-2922.
MSC (1991):
Primary 58F03, 54H20;
Secondary 58F08, 28D05
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Abstract:
Any transitive shift of finite type has a transitive constant-to-one extension which is not of finite type.
References:
- [B]
- F. Blanchard, Extensions à fibre constante, Ergodic Theory Dynamical Systems, 11, (1991), 7--17. MR 92f:58052
- [BH]
- F. Blanchard and G. Hansel, Sofic constant-to-one extensions of subshifts of finite type, Proc. Amer. Math. Soc., 112, (1991), 259--265. MR 91m:54050
- [DGS]
- M. Denker, C. Grillenberger, and K. Sigmund, Ergodic theory on compact spaces, Lecture Notes in Math., vol. 527, Springer, New York, 1976, MR 56:15879
- [R1]
- D. Rudolph, If a two-point extension of a Bernoulli shift has an ergodic square then it is Bernoulli, Israel J. Math., 30, (1978), 159--180. MR 80h:28028a
- [R2]
- ------, If a finite extension of a Bernoulli shift has no finite rotation factors, it is Bernoulli, Israel J. Math. 30 (1978), 193--206. MR 80h:28028b
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Additional Information:
Doris
Fiebig
Affiliation:
Institut für Angewandte Mathematik, Universität
Heidelberg, Im
Neuenheimer Feld 294, 69120 Heidelberg, Germany
Email:
fiebig@math.uni-heidelberg.de
DOI:
10.1090/S0002-9939-96-03341-2
PII:
S 0002-9939(96)03341-2
Received by editor(s):
January 6, 1995
Received by editor(s) in revised form:
March 14, 1995
Communicated by:
Mary Rees
Copyright of article:
Copyright
1996,
American Mathematical Society
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