Comultiplications on a wedge of two spheres

DOI10.1007/s11425-010-4061-0zbMath1229.55009OpenAlexW2015070995MaRDI QIDQ547327

Dae-Woong Lee, Martin Arkowitz

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4061-0

zbMATH Keywords

comultiplicationshomotopy associativityco-H-spacesbasic Whitehead productsHilton's formulahomotopy commutativityHopf-Hilton invariants

Mathematics Subject Classification ID

Hopf invariants (55Q25) Suspensions (55P40) Whitehead products and generalizations (55Q15)

Related Items

Near-rings on digital Hopf groups, On the generalized same N-type conjecture, Digital H-spaces and actions in the pointed digital homotopy category, Primitive and decomposable elements in homology of \(\Omega \Sigma \mathbb{C} P^{\infty}\), Comultiplication structures on the wedge product of spheres, Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces, Homotopy comultiplications on the \(k\)-fold wedge of spheres, On the digitally quasi comultiplications of digital images, Properties of comultiplications on a wedge of spheres, Algebraic loop structures on algebra comultiplications, On automorphisms of graded quasi-lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Rational co-H-spaces
• Equivalence classes of homotopy-associative comultiplications of finite complexes
• On the number of comultiplications of a suspension
• Cogroups and suspensions
• Category and generalized Hopf invariants
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Comultiplications on free groups and wedges of circles
• On the Homotopy Groups of the Union of Spheres