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arXiv · 1010.3329

A decomposition theorem for compact groups with application to supercompactness

Wiesław Kubiś·Sławomir Turek
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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 As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

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Wiesław Kubiś, Sławomir Turek. 2010-10-16. A decomposition theorem for compact groups with application to supercompactness. https://doi.org/10.2478/s11533-011-0019-x

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