Decompositions of looped co-𝐻-spaces

DOI10.1090/S0002-9939-2012-11417-0zbMath1266.55006OpenAlexW2014233410MaRDI QIDQ4911846

Jelena Grbic, Jie Wu, Stephen D. Theriault

Publication date: 20 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11417-0

zbMATH Keywords

loop spacehomotopy decompositionco-\(H\)-space

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Modular representations and characters (20C20) (H)-spaces and duals (55P45) Loop spaces (55P35) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (4)

The symmetric commutator homology of link towers and homotopy groups of 3-manifolds ⋮ Homotopy decompositions of looped 2-cell co-\(H\) spaces ⋮ Homotopy decompositions of looped co-\(H\) spaces of low-rank ⋮ Cancellation and homotopy rigidity of classical functors

Cites Work

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• Functorial homotopy decompositions of looped co-\(H\) spaces
• Some relations in the mod 3 cohomology of H-spaces
• The functor \(A^{\min}\) on \(p\)-local spaces
• The decomposition of the loop space of the mod 2 Moore space
• Torsion free mod p H-spaces of low rank
• Torsion in homotopy groups
• Localization of CW-complexes and its applications
• Reduced product spaces
• Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras
• Functorial Decompositions of Looped Coassociative Co-H Spaces
• On natural coalgebra decompositions of tensor algebras and loop suspensions
• On Co-Groups in the Category of Graded Algebras
• Suspension splittings and James–Hopf invariants
• The Homotopy Groups of Wedges of Suspensions

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