Integral Brown-Gitler Spectra

DOI10.2307/2047129zbMath0669.55004OpenAlexW4234035191MaRDI QIDQ3822850

Donald M. Davis, Mark E. Mahowald, Paul G. Goerss, Frederick R. Cohen

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047129

zbMATH Keywords

connected real K-theoryintegral Brown-Gitler spectraMay filtration of the second loop space of the 3-spheresplitting of bo\(\wedge bo\)splitting of the smash product of bo by itself

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Related Items (4)

Brown-Gitler spectra at \(BP<2>\) ⋮ \(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ On the spectrum \(bo \wedge \)tmf ⋮ The bu cohomology of \(BP<n>\)

Cites Work

• The immersion conjecture for differentiable manifolds
• Ring spectra which are Thom complexes
• The geometry of \(\Omega^2S^3\) and braid orientations
• bo-resolutions
• K(Z,0) and K(\(Z_ 2,\)0) as Thom spectra
• The localization of spaces with respect to homology
• The homology of iterated loop spaces
• A new infinite family in \(_2\pi^s_1\)
• Homotopy invariant algebraic structures on topological spaces
• Iterated loop spaces
• A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra
• An Integral Version of the Brown-Gitler Spectrum
• Operations in connective 𝐾-theory
• The Stable Geometric Dimension of Vector Bundles Over Real Projective Spaces

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