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A decomposition theorem for compact groups with an application to supercompactness

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Kubiś W., Turek S.

Open Mathematics

2011

tom 9

nr 3

593-602

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 As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

Ograniczanie wyników

1 Open Mathematics

1 Kubiś W.

1 Turek S.

1 2011

Wyniki wyszukiwania

A decomposition theorem for compact groups with an application to supercompactness