Morava K-theory of double loop spaces of spheres (Q1099436)
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scientific article; zbMATH DE number 4040831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morava K-theory of double loop spaces of spheres |
scientific article; zbMATH DE number 4040831 |
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Morava K-theory of double loop spaces of spheres (English)
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1988
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We calculate Morava K-homologies of double loop spaces of spheres and the related spaces; that is, the Brown-Gitler spectra and the classifying spaces of the braid groups. We use the Atiyah-Hirzebruch spectral sequence as a main tool for the computation and apply the stable splitting of double loop spaces of spheres (Snaith splitting) to show that the spectral sequence collapses and to determine the extension. We also deal with the connective Morava K-theory.
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Morava K-homologies of double loop spaces of spheres
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Brown-Gitler spectra
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classifying spaces of the braid groups
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Atiyah-Hirzebruch spectral sequence
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stable splitting of double loop spaces of spheres
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connective Morava K-theory
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