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

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