On expansive transformation groups
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References
- S. A. Andrea, On homeomorphisms of the plane, and their embedding in flows, Bull. Amer. Math. Soc. 71 (1965), 381–383. MR 172258, DOI 10.1090/S0002-9904-1965-11304-0
- B. F. Bryant, Expansive Self-Homeomorphisms of a Compact Metric Space, Amer. Math. Monthly 69 (1962), no. 5, 386–391. MR 1531676, DOI 10.2307/2312129
- B. F. Bryant, On expansive homeomorphisms, Pacific J. Math. 10 (1960), 1163–1167. MR 120632
- Murray Eisenberg, Expansive transformation semigroups of endomorphisms, Fund. Math. 59 (1966), 313–321. MR 203713, DOI 10.4064/fm-59-3-313-321
- Murray Eisenberg, Expansive transformation semigroups of endomorphisms, Fund. Math. 59 (1966), 313–321. MR 203713, DOI 10.4064/fm-59-3-313-321
- Murray Eisenberg, A note on positively expansive endomorphisms, Math. Scand. 19 (1966), 217–218. MR 207887, DOI 10.7146/math.scand.a-10812
- Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R.I., 1955. MR 0074810
- Marston Morse and Gustav A. Hedlund, Symbolic Dynamics, Amer. J. Math. 60 (1938), no. 4, 815–866. MR 1507944, DOI 10.2307/2371264
- G. Hochschild, The structure of Lie groups, Holden-Day, Inc., San Francisco-London-Amsterdam, 1965. MR 0207883
- K. H. Hofmann and Paul Mostert, Splitting in topological groups, Mem. Amer. Math. Soc. 43 (1963), 75. MR 151544
- J. F. Jakobsen and W. R. Utz, The non-existence of expansive homeomorphisms on a closed $2$-cell, Pacific J. Math. 10 (1960), 1319–1321. MR 117713
- L. S. Pontryagin, Topological groups, Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966. Translated from the second Russian edition by Arlen Brown. MR 0201557
- William Reddy, The existence of expansive homeomorphisms on manifolds, Duke Math. J. 32 (1965), 627–632. MR 187226
- Yu. M. Smirnov, On the metrization of topological spaces, Uspehi Matem. Nauk (N.S.) 6 (1951), no. 6(46), 100–111 (Russian). MR 0048788
- W. R. Utz, Unstable homeomorphisms, Proc. Amer. Math. Soc. 1 (1950), 769–774. MR 38022, DOI 10.1090/S0002-9939-1950-0038022-3
- Robert F. Williams, A note on unstable homeomorphisms, Proc. Amer. Math. Soc. 6 (1955), 308–309. MR 68211, DOI 10.1090/S0002-9939-1955-0068211-8
- T. S. Wu, Expansive automorphisms in compact groups, Math. Scand. 18 (1966), 23–24. MR 194549, DOI 10.7146/math.scand.a-10776
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 150 (1970), 131-138
- MSC: Primary 54.80
- DOI: https://doi.org/10.1090/S0002-9947-1970-0263056-0
- MathSciNet review: 0263056