Bihomogeneity of solenoids
Dynamical Systems
2014-10-01 v1 General Topology
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
Cite
@article{arxiv.math/0201287,
title = {Bihomogeneity of solenoids},
author = {Alex Clark and Robbert Fokkink},
journal= {arXiv preprint arXiv:math/0201287},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-1.abs.html