## Algebraic & Geometric Topology

### Bihomogeneity of solenoids

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 2, Number 1 (2002), 1-9.

Dates
Revised: 8 January 2002
Accepted: 10 January 2002
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882681

Digital Object Identifier
doi:10.2140/agt.2002.2.1

Mathematical Reviews number (MathSciNet)
MR1885212

Zentralblatt MATH identifier
0995.54025

Subjects
Primary: 54F15: Continua and generalizations
Secondary: 55R10: Fiber bundles

#### Citation

Clark, Alex; Fokkink, Robbert. Bihomogeneity of solenoids. Algebr. Geom. Topol. 2 (2002), no. 1, 1--9. doi:10.2140/agt.2002.2.1. https://projecteuclid.org/euclid.agt/1513882681

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