Mathematics – General Topology
Scientific paper
2010-10-16
Mathematics
General Topology
12 pages
Scientific paper
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 As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
Kubiś Wiesław
Turek Sławomir
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