A Direct Summand in H ∗ (MO 〈8 〉, Z 2 )

DOI10.2307/2042276zbMath0436.57014OpenAlexW1997820472MaRDI QIDQ3876707

Mark E. Mahowald, Anthony Bahri

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042276

zbMATH Keywords

Thom classdirect summandcobordism group of 7-parallelizable manifoldsMod-2-cohomology of the Thom-spectrum of the seven-connected covering of BOmodule over the mod 2 Steenrod algebra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Other types of cobordism (57R90)

Related Items (6)

Towards a splitting of the $K(2)$-local string bordism spectrum ⋮ \(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ Operations in the second quadrant Eilenberg-Moore spectral sequence ⋮ The homology of MSpin ⋮ The string bordism of \(BE_{8}\) and \(BE_{8} \times BE_{8}\) through dimension 14 ⋮ A Fractal-Like Algebraic Splitting of the Classifying Space for Vector Bundles

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