, Volume 88, Issue 3, pp 239-247

Factors and extensions of full shifts

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Abstract

Let ∑ A be an irreducible shift of finite type with entropy logn. Then ∑ A is a continuous extension of the fulln-shift. Also, if ∑ A is a continuous factor of the fulln-shift, then it is shift equivalent to the fulln-shift.

Partially supported by NSF grants MCS 76-05969 and MCS 78-01244.