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Generators for topological entropy and expansiveness. (English) Zbl 0176.20603

##### MSC:
 54H20 Topological dynamics 54C70 Topological entropy
topology
##### References:
 [1] R. L. Adler, A. G. Konheim andM. H. McAndrew, Topological entropy,Trans. Amer. Math. Soc. 114 (1965), 309–319. · doi:10.1090/S0002-9947-1965-0175106-9 [2] B. F. Bryant, On expansive homeomorphisms,Pacific J. Math. 10 (1960), 1163–1167. [3] M. Eisenberg, Expansive transformation semigroups of endomorphisms,Fund. Math. 59 (1966), 313–321. [4] W. H. Gottschalk, Minimal sets: an introduction to topological dynamics,Bull. Amer. Math. Soc. 64 (1958), 336–351. · Zbl 0085.17401 · doi:10.1090/S0002-9904-1958-10223-2 [5] W. H. Gottschalk andG. Hedlund,Topological Dynamics, Amer. Math. Soc. Colloq. Publ., Vol. 36, Providence, 1955. [6] P. R. Halmos,Lectures on Ergodic Theory, Chelsea Publ. Co., New York, 1956. [7] H. B. Keynes andJ. B. Robertson, On ergodicity and mixing in topological transformation groups,Duke Math. J. 35 (1968), 809–819. · Zbl 0169.54402 · doi:10.1215/S0012-7094-68-03585-0 [8] W. Parry, Generators and strong generators in ergodic theory,Bull. Amer. Math. Soc. 72 (1966), 294–296. · Zbl 0144.29802 · doi:10.1090/S0002-9904-1966-11498-2 [9] V. A. Rokhlin, New progress in the theory of transformations with invariant measure,Russian Math. Surveys 15 (1960), 1–22. · doi:10.1070/RM1960v015n04ABEH004095 [10] T. S. Wu, Expansive automorphisms in compact groups,Math. Scand. 18 (1966), 23–24.