Properties of Selick's filtration of the double suspension E2

DOI10.1142/S1793525314500150zbMath1301.55004OpenAlexW2169164942MaRDI QIDQ2874675

Jelena Grbic, Stephen D. Theriault, Hao. Zhao

Publication date: 8 August 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525314500150

zbMATH Keywords

spectral sequence\(H\)-spacehomotopy exponentdouble suspension

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)

Cites Work

• On the iterated suspension
• The double suspension and exponents of the homotopy groups of spheres
• A spectral sequence concerning the double suspension
• Torsion in homotopy groups
• Equivalence of Toda-Hopf invariants
• On the sphere of origin of infinite families in the homotopy groups of spheres
• Reduced product spaces
• PROPERTIES OF CERTAIN H-SPACES
• 3-primary exponents
• Higher homotopy commutativity of 𝐻-spaces and the permuto-associahedra
• The $3$-primary classifying space of the fiber of the double suspension
• Universal homotopy associative, homotopy commutative $H$-spaces and the EHP spectral sequence
• Homotopy Associativity of H-Spaces. I