Monatshefte für Mathematik

, Volume 88, Issue 3, pp 239–247

Factors and extensions of full shifts

  • Brian Marcus

DOI: 10.1007/BF01295238

Cite this article as:
Marcus, B. Monatshefte für Mathematik (1979) 88: 239. doi:10.1007/BF01295238


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.

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Brian Marcus
    • 1
  1. 1.Department of MathematicsUniversity of North CarolinaChapel HillUSA