Preferred sets in topological dynamics
HTML articles powered by AMS MathViewer
- by Saber Elaydi and Ping Fun Lam PDF
- Proc. Amer. Math. Soc. 63 (1977), 334-338 Request permission
Abstract:
The second author introduced a set of dynamical invariants called indivisibilities in one of his previous papers [3]. Following the same idea but from a different point of view this note concerns a class of invariants in transformation groups called the ’preferred sets’. For a special class of transformation groups, the number of permissible preferred sets is determined.References
- Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
- 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
- Ping-fun Lam, Equicontinuity and indivisibility in transformation groups, Trans. Amer. Math. Soc. 174 (1972), 399–424. MR 309090, DOI 10.1090/S0002-9947-1972-0309090-5
- Ping Fun Lam, Almost equicontinuous transformation groups, Trans. Amer. Math. Soc. 195 (1974), 165–200. MR 377957, DOI 10.1090/S0002-9947-1974-0377957-X
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 334-338
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0445474-2
- MathSciNet review: 0445474