Properties of comultiplications on a wedge of spheres

DOI10.1016/J.TOPOL.2010.03.001zbMath1203.55007OpenAlexW2059305909MaRDI QIDQ972496

Martin Arkowitz, Dae-Woong Lee

Publication date: 19 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.03.001

zbMATH Keywords

algebraic loopscomultiplicationshomotopy associativityco-H-spaceshomotopy commutativityHopf-Hilton invariantsWhitehead productspower-associativityinversivitythe Moufang propertywedges of spheres

Mathematics Subject Classification ID

Hopf invariants (55Q25)

Related Items (11)

Near-rings on digital Hopf groups ⋮ On the generalized same N-type conjecture ⋮ Digital H-spaces and actions in the pointed digital homotopy category ⋮ On the group structure of \([J(X), \Omega (Y)\)] ⋮ 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 ⋮ Algebraic loop structures on algebra comultiplications ⋮ On automorphisms of graded quasi-lie algebras

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• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Loop-theoretic properties of H-spaces
• Comultiplications on free groups and wedges of circles
• Comultiplications of the Wedge of Two Moore Spaces
• Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups
• On the Homotopy Groups of the Union of Spheres

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