FACTORS AND EXTENSIONS OF FULL SHIFTS

被引:52
作者
MARCUS, B
机构
[1] Department of Mathematics, University of North Carolina, Chapel Hill, 27514, NC
来源
MONATSHEFTE FUR MATHEMATIK | 1979年 / 88卷 / 03期
关键词
D O I
10.1007/BF01295238
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let ∑A be an irreducible shift of finite type with entropy log n. Then ∑A is a continuous extension of the full n-shift. Also, if ∑A is a continuous factor of the full n-shift, then it is shift equivalent to the full n-shift. © 1979 Springer-Verlag.
引用
收藏
页码:239 / 247
页数:9
相关论文
共 9 条
[1]   EQUIVALENCE OF TOPOLOGICAL MARKOV SHIFTS [J].
ADLER, RL ;
GOODWYN, LW ;
WEISS, B .
ISRAEL JOURNAL OF MATHEMATICS, 1977, 27 (01) :49-63
[2]  
Bowen R, 1970, P S PURE MATH, P43
[3]  
COVEN E, 1974, MATH SYST THEORY, V8, P167
[4]  
GANTMACHER FR, 1959, THEORY MATRICIES, V2
[5]  
Hedlund GA., 1969, MATH SYST THEORY, V3, P320, DOI DOI 10.1007/BF01691062
[6]  
PARRY W, BLOCK CODING ZETA FU
[7]  
Parry W., 1964, T AM MATH SOC, V112, P55, DOI [10.1090/S0002-9947-1964-0161372-1, DOI 10.1090/S0002-9947-1964-0161372-1]
[8]  
WALTERS P, 1975, LECTURE NOTES MATH
[9]   CORRECTION [J].
WILLIAMS, RF .
ANNALS OF MATHEMATICS, 1974, 99 (02) :380-381