On the group structure of \([J(X), \Omega (Y)]\)

DOI10.1007/s40062-016-0145-zzbMath1379.55012OpenAlexW2538852097MaRDI QIDQ2410700

Marek Golasiński, Daciberg Lima Gonçalves, Peter N.-S. Wong

Publication date: 18 October 2017

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-016-0145-z

zbMATH Keywords

James constructionco-multiplicationCohen grouptorus homotopy group

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Loop spaces (55P35) Whitehead products and generalizations (55Q15) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (1)

On exponent and nilpotency of \([\Omega(\mathbb{S}^{r+1}),\Omega(\mathbb{K}P^n)\)]

Cites Work

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• Catalan and Motzkin numbers modulo 4 and 8
• Properties of comultiplications on a wedge of spheres
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• Cogroups and suspensions
• The generalized Whitehead product
• Homotopy groups and torus homotopy groups
• ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE
• Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces
• Homotopy theory of the suspensions of the projective plane
• ON THE GROUP STRUCTURE OF [ S2,  Y]
• On maps from loop suspensions to loop spaces and the shuffle relations on the Cohen groups
• Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups
• Binomial Coefficients Modulo a Prime

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