Central European Journal of Mathematics

, Volume 9, Issue 3, pp 593–602 | Cite as

A decomposition theorem for compact groups with an application to supercompactness

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As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.

Keywords

Simple compact Lie group Supercompact space 

MSC

22C05 54D30 54H11 

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References

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Copyright information

© © Versita Warsaw and Springer-Verlag Wien 2011

Authors and Affiliations

  1. 1.Mathematical InstituteCzech Academy of SciencesPragueCzech Republic
  2. 2.Institute of MathematicsJan Kochanowski UniversityKielcePoland

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