The regionally proximal relation

Auslander, Joseph; Ellis, David B.; Ellis, Robert

doi:10.1090/S0002-9947-1995-1285970-7

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Browser Compatibility Info Help
ISSN 1088-6850(online) ISSN 0002-9947(print)

The regionally proximal relation

Authors: Joseph Auslander, David B. Ellis and Robert Ellis
Journal: Trans. Amer. Math. Soc. 347 (1995), 2139-2146
MSC: Primary 54H20
MathSciNet review: 1285970
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions for the regionally proximal relation of a minimal flow to be an equivalence relation are obtained in terms of the group $\mathcal{G}(X)$ of the flow and various groups which depend only on the acting group .

[A] Joseph Auslander, Minimal flows and their extensions, North-Holland Mathematics Studies, vol. 153, North-Holland Publishing Co., Amsterdam, 1988. Notas de Matemática [Mathematical Notes], 122. MR 956049 (89m:54050)
[E1] Robert Ellis, Group-like extensions of minimal sets, Trans. Amer. Math. Soc. 127 (1967), 125–135. MR 0221492 (36 #4544), http://dx.doi.org/10.1090/S0002-9947-1967-0221492-2
[E2] Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561 (42 #2463)
[E3] Robert Ellis, The Veech structure theorem, Trans. Amer. Math. Soc. 186 (1973), 203–218 (1974). MR 0350712 (50 #3204), http://dx.doi.org/10.1090/S0002-9947-1973-0350712-1
[EGS] Robert Ellis, Shmuel Glasner, and Leonard Shapiro, Proximal-isometric (𝒫𝒥) flows, Advances in Math. 17 (1975), no. 3, 213–260. MR 0380755 (52 #1652)
[EK] Robert Ellis and Harvey Keynes, A characterization of the equicontinuous structure relation, Trans. Amer. Math. Soc. 161 (1971), 171–183. MR 0282357 (43 #8069), http://dx.doi.org/10.1090/S0002-9947-1971-0282357-4
[M] Douglas C. McMahon, Relativized weak disjointness and relatively invariant measures, Trans. Amer. Math. Soc. 236 (1978), 225–237. MR 0467704 (57 #7557), http://dx.doi.org/10.1090/S0002-9947-1978-0467704-9
[V] William A. Veech, The equicontinuous structure relation for minimal Abelian transformation groups, Amer. J. Math. 90 (1968), 723–732. MR 0232377 (38 #702)
[W] B. L. van der Waerden, Stetigkeitssatz der halbeinfachen Lieschen Gruppen, Math. Z. 161 (1933), 780-786.

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|