Geodesic
Bihomogeneity of solenoids
Clark, Alex1 ; Fokkink, Robbert2
1University of North Texas, Department of Mathematics, Denton TX 76203-1430, USA
2Technische Universiteit Delft, Faculty of Information Technology and Systems, Division Mediamatica, PO Box 5031, 2600 GA Delft, Netherlands
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 1-9
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Solenoids are inverse limit spaces over regular covering maps of closed manifolds. M C McCord has shown that solenoids are topologically homogeneous and that they are principal bundles with a profinite structure group. We show that if a solenoid is bihomogeneous, then its structure group contains an open abelian subgroup. This leads to new examples of homogeneous continua that are not bihomogeneous.

DOI : 10.2140/agt.2002.2.1
Keywords: homogeneous continuum, covering space, profinite group, principal bundle

Clark, Alex  1   ; Fokkink, Robbert  2

1 University of North Texas, Department of Mathematics, Denton TX 76203-1430, USA
2 Technische Universiteit Delft, Faculty of Information Technology and Systems, Division Mediamatica, PO Box 5031, 2600 GA Delft, Netherlands 
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Clark, Alex; Fokkink, Robbert. Bihomogeneity of solenoids. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 1-9. doi: 10.2140/agt.2002.2.1

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