Self-Maps of Loop Spaces. II

DOI10.2307/2000270zbMath0607.55003OpenAlexW4234821512MaRDI QIDQ3746503

H. E. A. Campbell, Frederick R. Cohen, Franklin P. Peterson, P. S. Selick

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000270

zbMATH Keywords

atomic spaceloop-spaces\({bbfC}P^ n\)\(\Omega ^{\infty }\Sigma ^{\infty }(X)\)H-atomic H-space

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Loop spaces (55P35) Infinite loop spaces (55P47) Stable homotopy groups (55Q10)

Related Items (5)

Unstable atomicity and loop spaces on Lie groups ⋮ Indecomposability of \(QX\) ⋮ Dickson invariants and a new description of \(H^{*}(Q_{0}S^{0},{\mathbb{Z}}/p{\mathbb{Z}})\) via \(H^{*}(B\Sigma _{\infty }, {\mathbb{Z}} / p {\mathbb{Z}})\) ⋮ Atomicity for Anick's spaces ⋮ \(A\)-generators for ideals in the Dickson algebra

Cites Work

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• Two-primary analogues of Selick's theorem and the Kahn-Priddy theorem for the 3-sphere
• The unstable decomposition of \(\Omega^ 2 \Sigma^ 2X\) and its applications
• Splitting certain suspensions via self-maps
• Cross-Sections of Stiefel Manifolds
• Self-Maps of Loop Spaces. I
• The transfer and stable homotopy theory
• Applications of the transfer to stable homotopy theory
• THE STABLE HOMOTOPY OF COMPLEX PROJECTIVE SPACE

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