A decomposition theorem for compact groups with application to supercompactness
General Topology
2012-10-23 v1
Abstract
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
Cite
@article{arxiv.1010.3329,
title = {A decomposition theorem for compact groups with application to supercompactness},
author = {Wiesław Kubiś and Sławomir Turek},
journal= {arXiv preprint arXiv:1010.3329},
year = {2012}
}
Comments
12 pages