Comultiplications on free groups and wedges of circles

DOI10.1090/S0002-9947-98-01916-3zbMath0897.55009MaRDI QIDQ4382978

Mauricio A. Gutiérrez, Martin Arkowitz

Publication date: 24 March 1998

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

zbMATH Keywords

free groupco-H-spaceequalizerscomultiplicationwedge of circlescogroupcategory with coproductsco-H-groupco-loop

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Free nonabelian groups (20E05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Suspensions (55P40)

Related Items (6)

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 ⋮ Comultiplications in algebra and topology ⋮ Comultiplications on a wedge of two spheres ⋮ Properties of comultiplications on a wedge of spheres

Cites Work

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• On the homotopy type of non-simply-connected co-H-spaces
• On co-H-spaces
• Equivalence classes of homotopy-associative comultiplications of finite complexes
• Cogroups and suspensions
• Group-like structures in general categories. II: Equalizers, limits, lengths. III: Primitive categories
• Free differential calculus. I: Derivation in the free group ring
• Structure maps in group theory
• An Inverse Function Theorem for Free Groups

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