Real prime flows
HTML articles powered by AMS MathViewer
- by H. B. Keynes and D. Newton PDF
- Trans. Amer. Math. Soc. 217 (1976), 237-255 Request permission
Abstract:
In this paper, we construct examples of real-type prime flows and study these examples in detail. General properties of prime flows are studied, with emphasis on proximality conditions and properties of automorphisms. Examples of prime flows which are not POD are shown to exist, and results analogous to number-theoretic properties, such as a “unique factorisation” theorem, are shown to hold for prime flows.References
- Joseph Auslander, Regular minimal sets. I, Trans. Amer. Math. Soc. 123 (1966), 469–479. MR 193629, DOI 10.1090/S0002-9947-1966-0193629-4
- Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
- Robert Ellis, Shmuel Glasner, and Leonard Shapiro, Proximal-isometric ($\scr P\scr J$) flows, Advances in Math. 17 (1975), no. 3, 213–260. MR 380755, DOI 10.1016/0001-8708(75)90093-6
- Robert Ellis and Harvey Keynes, A characterization of the equicontinuous structure relation, Trans. Amer. Math. Soc. 161 (1971), 171–183. MR 282357, DOI 10.1090/S0002-9947-1971-0282357-4
- Harry Furstenberg, Harvey Keynes, and Leonard Shapiro, Prime flows in topological dynamics, Israel J. Math. 14 (1973), 26–38. MR 321055, DOI 10.1007/BF02761532
- Harvey B. Keynes, The structure of weakly mixing minimal transformation groups, Illinois J. Math. 15 (1971), 475–489. MR 286090
- Reuven Peleg, Weak disjointness of transformation groups, Proc. Amer. Math. Soc. 33 (1972), 165–170. MR 298642, DOI 10.1090/S0002-9939-1972-0298642-2
- Karl Petersen, Spectra of induced transformations, Recent advances in topological dynamics (Proc. Conf. Topological Dynamics, Yale Univ., New Haven, Conn., 1972; in honor of Gustav Arnold Hedlund), Lecture Notes in Math., Vol. 318, Springer, Berlin, 1973, pp. 226–230. MR 0390175
- Karl Petersen and Leonard Shapiro, Induced flows, Trans. Amer. Math. Soc. 177 (1973), 375–390. MR 322839, DOI 10.1090/S0002-9947-1973-0322839-1
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 217 (1976), 237-255
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9947-1976-0400189-5
- MathSciNet review: 0400189