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2002 Bihomogeneity of solenoids
Alex Clark, Robbert Fokkink
Algebr. Geom. Topol. 2(1): 1-9 (2002). DOI: 10.2140/agt.2002.2.1

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.

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Alex Clark. Robbert Fokkink. "Bihomogeneity of solenoids." Algebr. Geom. Topol. 2 (1) 1 - 9, 2002. https://doi.org/10.2140/agt.2002.2.1

Information

Received: 22 August 2001; Revised: 8 January 2002; Accepted: 10 January 2002; Published: 2002
First available in Project Euclid: 21 December 2017

zbMATH: 0995.54025
MathSciNet: MR1885212
Digital Object Identifier: 10.2140/agt.2002.2.1

Subjects:
Primary: 54F15
Secondary: 55R10

Rights: Copyright © 2002 Mathematical Sciences Publishers

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