Free compact groups. IV: Splitting the component and the structure of the commutator group (Q805755)
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scientific article; zbMATH DE number 4204679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Free compact groups. IV: Splitting the component and the structure of the commutator group |
scientific article; zbMATH DE number 4204679 |
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Free compact groups. IV: Splitting the component and the structure of the commutator group (English)
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1991
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A program of realizing the structure of free compact groups is successively performed by the authors in some important directions [part II, cf. Topology Appl. 28, No.3, 215-231 (1988; Zbl 0638.22002)]. It is shown that the identity component of a free compact group is a semidirect factor of this group. A description of the projective cover PFX of the free compact group FX over a connected space X is given. This description enables to give a few estimates concerning the weight and the generating rank of the groups involved here.
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free compact groups
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identity component
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semidirect factor
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projective cover
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connected space
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weight
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generating rank
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