The bar spectral sequence converging to \(h(SO(2n+1))\) (Q1826172)
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scientific article; zbMATH DE number 4122865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The bar spectral sequence converging to \(h(SO(2n+1))\) |
scientific article; zbMATH DE number 4122865 |
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The bar spectral sequence converging to \(h(SO(2n+1))\) (English)
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1989
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We study the bar spectral sequence converging to \(h_*(SO(2n+1))\), where h is an algebraic theory over BP. The differentials are determined completely if \(h=P(l)\) and \(n<2^ l\). These results will be used in a future paper on the Morava K-theories of \(SO(2n+1)\), with no restriction on n [see the review below (Zbl 0685.57025)]. As another application, we determine \(BP_*(Spin(7))\) including much of its algebraic structure.
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bar spectral sequence
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algebraic theory over BP
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Morava K-theories of \(SO(2n+1)\)
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\(BP_ *(Spin(7))\)
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0.81971437
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0.81608236
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0.80962765
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0.8049229
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0.80374527
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