A generalization of Hagopian's theorem and exponents
Dynamical Systems
2007-05-23 v1 Geometric Topology
Abstract
We generalize Hagopian's theorem characterizing solenoids to higher dimensions by showing that any homogeneous continuum admitting a fiber bundle projection onto a torus with totally disconnected fibers admits a compatible abelian topological group structure. The higher dimensional exponent group is then introduced.
Cite
@article{arxiv.math/0003206,
title = {A generalization of Hagopian's theorem and exponents},
author = {Alex Clark},
journal= {arXiv preprint arXiv:math/0003206},
year = {2007}
}
Comments
Submitted to "Topology and its Applications"