This is a preview of subscription content, log in via an institution to check access.
References
R. Adler, A. Konheim andM. McAndrew, Topological entropy,Trans. Amer. Math. Soc. 114 (1965), 309–319.
R. Bowen, Entropy for group endomorphisms and homogeneous spaces,Trans. Amer. Math. Soc. 153 (1971), 401–414.
R. Bowen, Topological entropy and Axiom A,Proc. Sympos. Pure Math. 14 (1970), 23–42.
L. Goodwyn, The product theorem for topological entropy,Trans. Amer. Math. Soc. 158 (1971), 445–452.
L. Goodwyn, Topological entropy and expansive cascades, Dissertation, University of Maryland, 1968.
F. Hausdorff,Set Theory, Chelsea, New York, 1962.
S. Juzvinskii, Metric properties of endomorphisms of compact groups,Amer. Math. Soc. Transl. (2)66 (1968), 63–98.
H. Keynes andJ. Robertson, Generators for topological entropy and expansiveness,Math. Systems Theory 3 (1969), 51–59.
Michael Weiss, Restricted topological entropy and its application to problems in ergodic theory, Dissertation, Brown University, 1970.
Michael Weiss, Restricted topological entropy and real mappings,Notices Amer. Math. Soc. 17 (1970), p. 973.
Author information
Authors and Affiliations
Additional information
Sections 2–3 of this paper are based on a portion of the author's doctoral dissertation at Brown University. The author wishes to thank Professor Yuji Ito for supervising the research which led to this work.
Rights and permissions
About this article
Cite this article
Weiss, M.D. Restricted topological entropy and expansive mappings. Math. Systems Theory 7, 318–322 (1973). https://doi.org/10.1007/BF01890606
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01890606