Spherical classes in some finite loop spaces of spheres

DOI10.1016/j.topol.2017.03.013zbMath1369.55007arXiv1609.03143OpenAlexW2963371176MaRDI QIDQ526877

Hadi Zare

Publication date: 15 May 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03143

zbMATH Keywords

loop spaceJames-Hopf mapspherical classes

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Stable homotopy of spheres (55Q45)

Related Items (6)

Corrigendum to: ``Spherical classes in some finite loop spaces of spheres ⋮ A NOTE ON A-ANNIHILATED GENERATORS OF H_*QX ⋮ Filtered finiteness of the image of the unstable Hurewicz homomorphism with applications to bordism of immersions ⋮ Cospherical classes in some iterated loop spaces on spheres ⋮ Freudenthal's theorem and spherical classes in H_*QS⁰ ⋮ Spherical classes in \(H_*(\omega ^ls^{l+n};{\mathbb{Z}}/2)\) for \(4\leqslant l \leqslant 8\)

Cites Work

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• The homology of the James-Hopf maps
• \(\Gamma^+\)-structures. III: The stable structure of \(\Omega^\infty\Sigma^\infty A\)
• The Dyer-Lashof algebra and the \(\Lambda\)-algebra
• The homology of iterated loop spaces
• The geometry of the James-Hopf maps
• Double point self-intersection surfaces of immersions
• Unstable homotopy from the stable point of view
• On the structure of Hopf algebras
• On Hopf invariants
• Reduced product spaces
• On ${H_* {\left( {\Omega ^N \left( {S^n } \right);Z_2 } \right)} }$
• On H ∗ (Ω n+2 S n+1 ; F 2 )
• The unstable Adams spectral sequence for free iterated loop spaces
• A Stable Decomposition of ω ^N Sⁿ X
• Homology of Iterated Loop Spaces

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