Fixed point property of amenable planar vortexes




amenable group, CW space, fixed point, planar vortex, presentation


This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M. Day during the 1960s and a fundamental result for fixed points given by L.E.J. Brouwer.


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Author Biographies

James Francis Peters, University of Manitoba ; Adiyaman University

Computational Intelligence Laboratory ;Department of Mathematics, Faculty of Arts and Sciences

Tane Vergili, Karadeniz Technical University

Department of Mathematics


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How to Cite

J. F. Peters and T. Vergili, “Fixed point property of amenable planar vortexes”, Appl. Gen. Topol., vol. 22, no. 2, pp. 385–397, Oct. 2021.