|
|||
|
|
|
|
|
|
|
|
|
Bihomogeneity of
solenoids
Alex Clark and Robbert Fokkink |
|
Algebraic & Geometric Topology 2 (2002) 1–9
|
|
DOI: 10.2140/agt.2002.2.1
|
|
arXiv: math.DS/0201287 |
Abstract |
|
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. |
Keywords
homogeneous continuum, covering space, profinite group,
principal bundle
|
Mathematical Subject Classification 2000
Primary: 54F15
Secondary: 55R10
|
References |
Forward citations |
Publication
Received: 22 August 2001
Revised: 8 January 2002
Accepted: 10 January 2002
Published: 12 January 2002
|
Authors |
| Alex Clark | |
| University of North Texas Department of Mathematics Denton TX 76203-1430 USA |
|
| Robbert Fokkink | |
| Technische Universiteit Delft Faculty of Information Technology and Systems Division Mediamatica PO Box 5031 2600 GA Delft Netherlands |
|
|
