Duality Between Global Sections and Suspensions

Authors

  • Alica Miller Department of Mathematics, University of Louisville, Louisville, KY, USA

DOI:

https://doi.org/10.5644/SJM.04.2.08

Keywords:

Compact minimal abelian flows, global sections, suspensions, SK groups, weakly mixing

Abstract

We establish existence of global sections for non-weakly-mixing compact minimal flows whose acting group is SK. We also establish a duality between the notions of global sections and suspensions of compact flows.

 

2000 Mathematics Subject Classification. 37B05; 54H20

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References

R. Ellis, Global sections of transformation groups, Illinois J. Math., 8 (1964), 380–394.

W. Gottschalk and G. Hedlund, Topological Dynamics, Colloquium Publications, 36, American Mathematical Society, R.I., 1955.

A. Miller, A criterion for minimality of restrictions of compact minimal abelian flows, Top. Appl., 119 (2002), 95–111.

V. Pestov, Topological groups: where to from here?, Top. Proc., 24 (1999), 421–502.

J. de Vries, Elements of topological dynamics, Mathematics and its Applications, 257, Kluwer Academic Publishers Group, Dordrecht, 1993.

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Published

11.06.2024

How to Cite

Miller, A. (2024). Duality Between Global Sections and Suspensions. Sarajevo Journal of Mathematics, 4(2), 233–237. https://doi.org/10.5644/SJM.04.2.08

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