Criterion of isomorphism of a finite-degree functor and a power functor (Q912422)
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scientific article; zbMATH DE number 4144915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criterion of isomorphism of a finite-degree functor and a power functor |
scientific article; zbMATH DE number 4144915 |
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Criterion of isomorphism of a finite-degree functor and a power functor (English)
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1989
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Let F be a normal endofunctor of the category of compacta. Let F have degree n. Then \(F\cong Id^ n\) iff the map \(F\pi\) : F(Q\(\times Q)\to F(Q)\) is l-soft where Q is the Hilbert cube and \(\pi\) : \(Q\times Q\to Q\) is a projection.
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category of compacta
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normal functor
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soft map
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Hilbert cube
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0.7738507986068726
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0.7643249034881592
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0.7387807369232178
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