bo-resolutions

DOI10.2140/PJM.1981.92.365zbMath0476.55021OpenAlexW4232867226MaRDI QIDQ1160456

Mark E. Mahowald

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.92.365

zbMATH Keywords

Thom spectrabo-Adams spectral sequencebo-resolutionintegral versions of Brown-Gitler spectraspectrum representing connected real K- theory at the prime 2splitting of bo smashed with bov1- periodic elements in the stable homotopy groups of spheresv1-periodic homotopy

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15) Adams spectral sequences (55T15) Generalized cohomology and spectral sequences in algebraic topology (55T25) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Stable homotopy of spheres (55Q45)

Related Items (30)

Enumerating partitions arising in homotopy theory ⋮ On the Tate spectrum of tmf at the prime 2 ⋮ An Integral Version of the Brown-Gitler Spectrum ⋮ \(v_ n\)-elements in ring spectra and applications to bordism theory ⋮ Brown-Gitler spectra at \(BP<2>\) ⋮ On the spectrum \(bo \wedge \)tmf ⋮ The bu cohomology of \(BP<n>\) ⋮ New relationships between steenrod operations for certain spaces ⋮ The connective real \(K\)-theory of Brown-Gitler spectra ⋮ Towards the \(K(2)\)-local homotopy groups of \(Z\) ⋮ On realizations of the subalgebra 𝒜^{ℝ}(1) of the ℝ-motivic Steenrod algebra ⋮ Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere ⋮ The telescope conjecture at height 2 and the tmf resolution ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ The 2-primary Hurewicz image of \(\operatorname{tmf}\) ⋮ The Stable Geometric Dimension of Vector Bundles Over Real Projective Spaces ⋮ New families in the homotopy of the motivic sphere spectrum ⋮ A Short Introduction to the Telescope and Chromatic Splitting Conjectures ⋮ Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory ⋮ On the \(K(1)\)-local homotopy of \(\mathrm{tmf}\wedge\mathrm{tmf}\) ⋮ Detecting exotic spheres in low dimensions using coker J ⋮ Truncated projective spaces, Brown-Gitler spectra and indecomposable \(\mathcal{A}(1)\)-modules ⋮ On \(\mathrm{BP}\langle 2 \rangle\)-cooperations ⋮ Some Generalized Brown-Gitler Spectra ⋮ A class of 2-local finite spectra which admit a \(v_2^1\)-self-map ⋮ $kq$-resolutions I ⋮ On -local ⋮ The Regular Complex in the $BP\rangle 1 \langle $-Adams Spectral Sequence ⋮ Integral Brown-Gitler Spectra ⋮ A generalization of the lambda algebra

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