References
R. L. Adler, A. G. Konheim andM. H. McAndrew, Topological entropy,Trans. Amer. Math. Soc. 114 (1965), 309–319.
B. F. Bryant, Expansive self-homeomorphisms of a compact metric space,Amer. Math. Monthly 69 (1962), 386–391.
M. Eisenberg, Expansive transformation semigroups of endomorphisms,Fund. Math. 59 (1966), 313–321.
P. R. Halmos,Lectures on Ergodic Theory, Chelsea Publ. Co., New York, 1956.
H. B. Keynes andJ. B. Robertson, Generators for topological entropy and expansiveness,Math. Systems Theory 3 (1969), 51–59.
H. B. Keynes andJ. B. Robertson, Generators for topological entropy and expansiveness,Notices Amer. Math. Soc. 15 (1968), 505–506.
W. L. Reddy, Lifting expansive homeomorphisms to symbolic flows,Math. Systems Theory 2 (1968), 91–92.
S. Smale, Differentiable dynamical systems,Bull. Amer. Math. Soc. 73 (1967), 747–817.
W. R. Utz, Unstable homeomorphisms,Proc. Amer. Math. Soc. 1 (1950), 769–774.
Author information
Authors and Affiliations
Additional information
This paper was written while this author was at the University of California, Berkeley, on a National Science Foundation Science Faculty Fellowship.
Rights and permissions
About this article
Cite this article
Bryant, B.F., Walters, P. Asymptotic properties of expansive homeomorphisms. Math. Systems Theory 3, 60–66 (1969). https://doi.org/10.1007/BF01695626
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01695626