Bihomogeneity of solenoids

Details Bihomogeneity of solenoids Bihomogeneity of solenoids

2002-01-29

arxiv.org/abs/math/0201287v1

Algebr. Geom. Topol. 2 (2002) 1-9

Mathematics

Dynamical Systems

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-1.abs.html

Scientific paper

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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