Nilpotency of unstable \(K\)-theory (Q876529)
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scientific article; zbMATH DE number 5144524
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotency of unstable \(K\)-theory |
scientific article; zbMATH DE number 5144524 |
Statements
Nilpotency of unstable \(K\)-theory (English)
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18 April 2007
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The author studies the nilpotency class of the homotopy set \([X,U(n)]\), where \(X\) is a finite connected \(CW\)-complex, and \(U(n)\) is the unitary group. Denoting \(N_{n,k}=\max\{nil[X,U(n)] \mid \dim X\leq 2n+k\}\), it is proved (sect. 2) that \(N_{n,k}\leq k+2\) and \(N_{n,k}\) is determined for \(k=0,1,2\) (sec. 3 and 4).
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homotoy
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unitary groups
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\(K\)-theory
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