Abstract
Our aim is to give a proof of the fact that the phase space of a minimal and distal flow with any acting group is a κ-metrizable space and in the case of ω-bounded group it is a Dugundji space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Auslander, Minimal Flows and their Extension, North-Holland (Amsterdam, 1988).
I. Bandlow, On coabsolutes of compact spaces with a minimal acting group, Proc. Amer. Math. Soc., 122 (1994), 261–264.
I. U. Bronšte{ie191-1}n, Extension of Minimal Transformation Groups, Stijthoff & Noordhoff, Alphen aan den Rijn, 1979. (Original Russian edition: Izdatelstwo Štinitsa, Kišinev, 1975.).
A. V. Ivanov, Superextensions of openly generated compact Hausdorff spaces, Soviet Math. Doklady, 24 (1981), 60–64.
B. A. Efimov, On dyadic spaces, Doklady Akad. Nauk USSR., 151 (1963), 1021–1024.
E. V. Ščepin, Topology of limit spaces with uncountable inverse spectra, Russian Math. Surveys, 31 (1976), 191–226.
E. V. Ščepin, On k-metrizable spaces, Math. USRR Izvestija, 14 (1980), 407–440.
E. V. Ščepin, Functors and uncountable powers of compacta, Russian Math. Surveys, 36 (1981), 1–71.
V. V. Uspienski, Why compact groups are dyadic, in: General Topology and its Relations to Modern Analysis and Algebra VI, Helderman Verlag Berlin (1988), Proc. Sixth Prague Topological Symposium 1986, pp. 601–610.
J. de Vries, Elements of Topological Dynamics, Kluwer Academic Publisher (Dordrecht-Boston-London, 1993).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Turek, S. Phase Spaces of Distal Minimal Flows. Acta Mathematica Hungarica 88, 185–191 (2000). https://doi.org/10.1023/A:1006757012542
Issue Date:
DOI: https://doi.org/10.1023/A:1006757012542