A four-filtrated May spectral sequence and its applications

DOI10.1007/S10114-008-6219-ZzbMath1158.55017OpenAlexW1986561877MaRDI QIDQ944070

Xiang Jun Wang, Xiu Gui Liu

Publication date: 12 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6219-z

zbMATH Keywords

Adams spectral sequenceMay spectral sequencestable homotopy groups of spheres

Mathematics Subject Classification ID

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

Related Items (7)

Detection of a nontrivial product in the stable homotopy groups of spheres ⋮ A nontrivial homotopy element of order \(p^{2}\) detected by the classical Adams spectral sequence ⋮ Detection of some elements in the stable homotopy groups of spheres ⋮ Some secondary differentials on the fourth line of the Adams spectral sequence ⋮ The composition of R. Cohen's elements and the third periodic elements in stable homotopy groups of spheres ⋮ Four families of nontrivial product elements in the stable homotopy groups of spheres ⋮ A relation in the stable homotopy groups of spheres

Cites Work

• A nontrivial product of filtration \(s+ 5\) in the stable homotopy of spheres
• The cohomology of the Morava stabilizer algebras
• A new infinite family in \(_2\pi^s_1\)
• Periodic phenomena in the Adams-Novikov spectral sequence
• A new family of filtration seven in the stable homotopy of spheres
• The convergence of \(\tilde\alpha_s^{(n)}h_0h_k\)
• A new family of filtration three in the stable homotopy of spheres
• New families in the stable homotopy of spheres revisited
• A nontrivial product in the stable homotopy groups of spheres
• The convergence of \(\widetilde{\gamma}_s (b_0h_n- h_1b_{n-1})\)
• A new family of filtration \(s+6\) in the stable homotopy groups of spheres
• The cohomology of restricted Lie algebras and of Hopf algebras
• On the cohomology of the Steenrod algebra
• On spectra realizing exterior parts of the Steenrod algebra
• On the convergence of products \(\tilde {\gamma }_{s} h_{1} h_{n}\) in the Adams spectral sequence
• NON-TRIVIALITY OF TWO HOMOTOPY ELEMENTS IN π_*S
• 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
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