A decomposition theorem for compact groups with application to supercompactness
نویسندگان
چکیده
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 As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact. MSC(2010) Primary: 22C05, 54D30. Secondary: 54H11.
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