The convergence of \(\tilde\alpha_s^{(n)}h_0h_k\)

DOI10.1007/BF02876232zbMath0947.55015OpenAlexW2091498518MaRDI QIDQ1297598

Qi-Bing Zheng, Xiang Jun Wang

Publication date: 25 October 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02876232

zbMATH Keywords

Adams spectral sequencecobar constructionstable stems

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Stable homotopy of spheres (55Q45)

Related Items

Non-triviality of a product in the Adams \(E_2\)-term, A \({\varpi}_{n}\)-related family of homotopy elements in the stable homotopy of spheres, On the convergence of products \(\tilde {\gamma }_{s} h_{1} h_{n}\) in the Adams spectral sequence, Detection of a nontrivial product in the stable homotopy groups of spheres, A nontrivial product of filtration \(s+ 5\) in the stable homotopy of spheres, A nontrivial product in the \(E_2\)-term of the Adams spectral sequence for the sphere spectrum, A nontrivial homotopy element of order \(p^{2}\) detected by the classical Adams spectral sequence, The convergence of \(\widetilde{\gamma}_s (b_0h_n- h_1b_{n-1})\), On a family involving R. L. Cohen's \(\zeta\)-element. II, A four-filtrated May spectral sequence and its applications, On the cohomology of the mod \(p\) Steenrod algebra, The secondary differentials on the third line of the Adams spectral sequence, The composition of R. Cohen's elements and the third periodic elements in stable homotopy groups of spheres, On a product in the classical Adams spectral sequence, Four families of nontrivial product elements in the stable homotopy groups of spheres, A family of nonzero products in the cohomology of the odd primary Steenrod algebra, On the product \(\alpha_1 \beta_1^2 \beta_2 \gamma_s\) in the stable homotopy groups of spheres, A relation in the stable homotopy groups of spheres

Cites Work

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• On the structure and applications of the Steenrod algebra
• On the non-existence of elements of Hopf invariant one
• Secondary cohomology operations that detect homotopy classes
• Periodic phenomena in the Adams-Novikov spectral sequence
• On spectra realizing exterior parts of the Steenrod algebra
• Odd primary infinite families in stable homotopy theory
• Some notes on the adams spectral sequence
• The factorization of cyclic reduced powers by secondary cohomology operations
• On Realizing Complex Bordism Modules: Applications to the Stable Homotopy of Spheres